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Finding the Third Proportional to 98,575.50 and 152,919

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Solution

The third proportional to 98,575.50 and 152,919 is: 237,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,575.50 : 152,919 = 152,919 : x
  2. Step 2: Convert to fraction form
    98,575.50/152,919 = 152,919/x
  3. Step 3: Cross multiply
    98,575.50x = 152,919 × 152,919
  4. Step 4: Simplify right side
    98,575.50x = 23,384,220,561
  5. Step 5: Solve for x
    x = 23,384,220,561/98,575.50
  6. Step 6: Final answer
    x = 237,221.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.