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Finding the Third Proportional to 96,770 and 149,523

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Solution

The third proportional to 96,770 and 149,523 is: 231,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,770 : 149,523 = 149,523 : x
  2. Step 2: Convert to fraction form
    96,770/149,523 = 149,523/x
  3. Step 3: Cross multiply
    96,770x = 149,523 × 149,523
  4. Step 4: Simplify right side
    96,770x = 22,357,127,529
  5. Step 5: Solve for x
    x = 22,357,127,529/96,770
  6. Step 6: Final answer
    x = 231,033.66

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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.