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Finding the Third Proportional to 63,577 and 98,506

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Solution

The third proportional to 63,577 and 98,506 is: 152,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,577 : 98,506 = 98,506 : x
  2. Step 2: Convert to fraction form
    63,577/98,506 = 98,506/x
  3. Step 3: Cross multiply
    63,577x = 98,506 × 98,506
  4. Step 4: Simplify right side
    63,577x = 9,703,432,036
  5. Step 5: Solve for x
    x = 9,703,432,036/63,577
  6. Step 6: Final answer
    x = 152,624.88

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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.