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Finding the Third Proportional to 96,309 and 149,707.13

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Solution

The third proportional to 96,309 and 149,707.13 is: 232,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,309 : 149,707.13 = 149,707.13 : x
  2. Step 2: Convert to fraction form
    96,309/149,707.13 = 149,707.13/x
  3. Step 3: Cross multiply
    96,309x = 149,707.13 × 149,707.13
  4. Step 4: Simplify right side
    96,309x = 22,412,223,275.77
  5. Step 5: Solve for x
    x = 22,412,223,275.77/96,309
  6. Step 6: Final answer
    x = 232,711.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.