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Finding the Third Proportional to 96,460.13 and 137,596.13

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Solution

The third proportional to 96,460.13 and 137,596.13 is: 196,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,460.13 : 137,596.13 = 137,596.13 : x
  2. Step 2: Convert to fraction form
    96,460.13/137,596.13 = 137,596.13/x
  3. Step 3: Cross multiply
    96,460.13x = 137,596.13 × 137,596.13
  4. Step 4: Simplify right side
    96,460.13x = 18,932,693,615.02
  5. Step 5: Solve for x
    x = 18,932,693,615.02/96,460.13
  6. Step 6: Final answer
    x = 196,274.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.