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Finding the Third Proportional to 57,846 and 87,497

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Solution

The third proportional to 57,846 and 87,497 is: 132,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846 : 87,497 = 87,497 : x
  2. Step 2: Convert to fraction form
    57,846/87,497 = 87,497/x
  3. Step 3: Cross multiply
    57,846x = 87,497 × 87,497
  4. Step 4: Simplify right side
    57,846x = 7,655,725,009
  5. Step 5: Solve for x
    x = 7,655,725,009/57,846
  6. Step 6: Final answer
    x = 132,346.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.