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Finding the Third Proportional to 60,414 and 88,858

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Solution

The third proportional to 60,414 and 88,858 is: 130,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414 : 88,858 = 88,858 : x
  2. Step 2: Convert to fraction form
    60,414/88,858 = 88,858/x
  3. Step 3: Cross multiply
    60,414x = 88,858 × 88,858
  4. Step 4: Simplify right side
    60,414x = 7,895,744,164
  5. Step 5: Solve for x
    x = 7,895,744,164/60,414
  6. Step 6: Final answer
    x = 130,693.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.