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Finding the Third Proportional to 67,542 and 98,706

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Solution

The third proportional to 67,542 and 98,706 is: 144,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,542 : 98,706 = 98,706 : x
  2. Step 2: Convert to fraction form
    67,542/98,706 = 98,706/x
  3. Step 3: Cross multiply
    67,542x = 98,706 × 98,706
  4. Step 4: Simplify right side
    67,542x = 9,742,874,436
  5. Step 5: Solve for x
    x = 9,742,874,436/67,542
  6. Step 6: Final answer
    x = 144,249.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.