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Finding the Third Proportional to 57,734 and 90,246

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Solution

The third proportional to 57,734 and 90,246 is: 141,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,734 : 90,246 = 90,246 : x
  2. Step 2: Convert to fraction form
    57,734/90,246 = 90,246/x
  3. Step 3: Cross multiply
    57,734x = 90,246 × 90,246
  4. Step 4: Simplify right side
    57,734x = 8,144,340,516
  5. Step 5: Solve for x
    x = 8,144,340,516/57,734
  6. Step 6: Final answer
    x = 141,066.62

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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.