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Finding the Third Proportional to 94,452 and 142,587

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Solution

The third proportional to 94,452 and 142,587 is: 215,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,452 : 142,587 = 142,587 : x
  2. Step 2: Convert to fraction form
    94,452/142,587 = 142,587/x
  3. Step 3: Cross multiply
    94,452x = 142,587 × 142,587
  4. Step 4: Simplify right side
    94,452x = 20,331,052,569
  5. Step 5: Solve for x
    x = 20,331,052,569/94,452
  6. Step 6: Final answer
    x = 215,252.75

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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.