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Finding the Third Proportional to 69,921 and 152,257.50

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Solution

The third proportional to 69,921 and 152,257.50 is: 331,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,921 : 152,257.50 = 152,257.50 : x
  2. Step 2: Convert to fraction form
    69,921/152,257.50 = 152,257.50/x
  3. Step 3: Cross multiply
    69,921x = 152,257.50 × 152,257.50
  4. Step 4: Simplify right side
    69,921x = 23,182,346,306.25
  5. Step 5: Solve for x
    x = 23,182,346,306.25/69,921
  6. Step 6: Final answer
    x = 331,550.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.