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Finding the Third Proportional to 39,466 and 86,708

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Solution

The third proportional to 39,466 and 86,708 is: 190,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,466 : 86,708 = 86,708 : x
  2. Step 2: Convert to fraction form
    39,466/86,708 = 86,708/x
  3. Step 3: Cross multiply
    39,466x = 86,708 × 86,708
  4. Step 4: Simplify right side
    39,466x = 7,518,277,264
  5. Step 5: Solve for x
    x = 7,518,277,264/39,466
  6. Step 6: Final answer
    x = 190,500.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.