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Finding the Third Proportional to 133,377.19 and 200,070.56

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Solution

The third proportional to 133,377.19 and 200,070.56 is: 300,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,377.19 : 200,070.56 = 200,070.56 : x
  2. Step 2: Convert to fraction form
    133,377.19/200,070.56 = 200,070.56/x
  3. Step 3: Cross multiply
    133,377.19x = 200,070.56 × 200,070.56
  4. Step 4: Simplify right side
    133,377.19x = 40,028,229,979.07
  5. Step 5: Solve for x
    x = 40,028,229,979.07/133,377.19
  6. Step 6: Final answer
    x = 300,113.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.