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Finding the Third Proportional to 73,542 and 103,617

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Solution

The third proportional to 73,542 and 103,617 is: 145,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,542 : 103,617 = 103,617 : x
  2. Step 2: Convert to fraction form
    73,542/103,617 = 103,617/x
  3. Step 3: Cross multiply
    73,542x = 103,617 × 103,617
  4. Step 4: Simplify right side
    73,542x = 10,736,482,689
  5. Step 5: Solve for x
    x = 10,736,482,689/73,542
  6. Step 6: Final answer
    x = 145,991.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.