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Finding the Third Proportional to 63,567 and 98,484

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Solution

The third proportional to 63,567 and 98,484 is: 152,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,567 : 98,484 = 98,484 : x
  2. Step 2: Convert to fraction form
    63,567/98,484 = 98,484/x
  3. Step 3: Cross multiply
    63,567x = 98,484 × 98,484
  4. Step 4: Simplify right side
    63,567x = 9,699,098,256
  5. Step 5: Solve for x
    x = 9,699,098,256/63,567
  6. Step 6: Final answer
    x = 152,580.71

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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.