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Finding the Third Proportional to 57,713 and 90,214

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Solution

The third proportional to 57,713 and 90,214 is: 141,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,713 : 90,214 = 90,214 : x
  2. Step 2: Convert to fraction form
    57,713/90,214 = 90,214/x
  3. Step 3: Cross multiply
    57,713x = 90,214 × 90,214
  4. Step 4: Simplify right side
    57,713x = 8,138,565,796
  5. Step 5: Solve for x
    x = 8,138,565,796/57,713
  6. Step 6: Final answer
    x = 141,017.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.