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Finding the Third Proportional to 96,780 and 149,542

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Solution

The third proportional to 96,780 and 149,542 is: 231,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,780 : 149,542 = 149,542 : x
  2. Step 2: Convert to fraction form
    96,780/149,542 = 149,542/x
  3. Step 3: Cross multiply
    96,780x = 149,542 × 149,542
  4. Step 4: Simplify right side
    96,780x = 22,362,809,764
  5. Step 5: Solve for x
    x = 22,362,809,764/96,780
  6. Step 6: Final answer
    x = 231,068.50

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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.