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Finding the Third Proportional to 63,531 and 100,498.50

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Solution

The third proportional to 63,531 and 100,498.50 is: 158,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,531 : 100,498.50 = 100,498.50 : x
  2. Step 2: Convert to fraction form
    63,531/100,498.50 = 100,498.50/x
  3. Step 3: Cross multiply
    63,531x = 100,498.50 × 100,498.50
  4. Step 4: Simplify right side
    63,531x = 10,099,948,502.25
  5. Step 5: Solve for x
    x = 10,099,948,502.25/63,531
  6. Step 6: Final answer
    x = 158,976.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.