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Finding the Third Proportional to 52,638 and 78,708

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Solution

The third proportional to 52,638 and 78,708 is: 117,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,638 : 78,708 = 78,708 : x
  2. Step 2: Convert to fraction form
    52,638/78,708 = 78,708/x
  3. Step 3: Cross multiply
    52,638x = 78,708 × 78,708
  4. Step 4: Simplify right side
    52,638x = 6,194,949,264
  5. Step 5: Solve for x
    x = 6,194,949,264/52,638
  6. Step 6: Final answer
    x = 117,689.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.