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Finding the Third Proportional to 67,141 and 90,862.75

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Solution

The third proportional to 67,141 and 90,862.75 is: 122,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,141 : 90,862.75 = 90,862.75 : x
  2. Step 2: Convert to fraction form
    67,141/90,862.75 = 90,862.75/x
  3. Step 3: Cross multiply
    67,141x = 90,862.75 × 90,862.75
  4. Step 4: Simplify right side
    67,141x = 8,256,039,337.56
  5. Step 5: Solve for x
    x = 8,256,039,337.56/67,141
  6. Step 6: Final answer
    x = 122,965.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.