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Finding the Third Proportional to 54,175 and 71,902.50

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Solution

The third proportional to 54,175 and 71,902.50 is: 95,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,175 : 71,902.50 = 71,902.50 : x
  2. Step 2: Convert to fraction form
    54,175/71,902.50 = 71,902.50/x
  3. Step 3: Cross multiply
    54,175x = 71,902.50 × 71,902.50
  4. Step 4: Simplify right side
    54,175x = 5,169,969,506.25
  5. Step 5: Solve for x
    x = 5,169,969,506.25/54,175
  6. Step 6: Final answer
    x = 95,430.91

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.