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Finding the Third Proportional to 57,906 and 87,291

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Solution

The third proportional to 57,906 and 87,291 is: 131,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,906 : 87,291 = 87,291 : x
  2. Step 2: Convert to fraction form
    57,906/87,291 = 87,291/x
  3. Step 3: Cross multiply
    57,906x = 87,291 × 87,291
  4. Step 4: Simplify right side
    57,906x = 7,619,718,681
  5. Step 5: Solve for x
    x = 7,619,718,681/57,906
  6. Step 6: Final answer
    x = 131,587.72

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Why These Related Problems?

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