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Finding the Third Proportional to 96,702 and 149,428

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Solution

The third proportional to 96,702 and 149,428 is: 230,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,702 : 149,428 = 149,428 : x
  2. Step 2: Convert to fraction form
    96,702/149,428 = 149,428/x
  3. Step 3: Cross multiply
    96,702x = 149,428 × 149,428
  4. Step 4: Simplify right side
    96,702x = 22,328,727,184
  5. Step 5: Solve for x
    x = 22,328,727,184/96,702
  6. Step 6: Final answer
    x = 230,902.43

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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.