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Finding the Third Proportional to 57,158 and 86,876.50

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Solution

The third proportional to 57,158 and 86,876.50 is: 132,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,158 : 86,876.50 = 86,876.50 : x
  2. Step 2: Convert to fraction form
    57,158/86,876.50 = 86,876.50/x
  3. Step 3: Cross multiply
    57,158x = 86,876.50 × 86,876.50
  4. Step 4: Simplify right side
    57,158x = 7,547,526,252.25
  5. Step 5: Solve for x
    x = 7,547,526,252.25/57,158
  6. Step 6: Final answer
    x = 132,046.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.