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Finding the Third Proportional to 131,121.28 and 202,473.84

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Solution

The third proportional to 131,121.28 and 202,473.84 is: 312,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,121.28 : 202,473.84 = 202,473.84 : x
  2. Step 2: Convert to fraction form
    131,121.28/202,473.84 = 202,473.84/x
  3. Step 3: Cross multiply
    131,121.28x = 202,473.84 × 202,473.84
  4. Step 4: Simplify right side
    131,121.28x = 40,995,657,402.90
  5. Step 5: Solve for x
    x = 40,995,657,402.90/131,121.28
  6. Step 6: Final answer
    x = 312,654.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.