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Finding the Third Proportional to 71,454 and 109,652

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Solution

The third proportional to 71,454 and 109,652 is: 168,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,454 : 109,652 = 109,652 : x
  2. Step 2: Convert to fraction form
    71,454/109,652 = 109,652/x
  3. Step 3: Cross multiply
    71,454x = 109,652 × 109,652
  4. Step 4: Simplify right side
    71,454x = 12,023,561,104
  5. Step 5: Solve for x
    x = 12,023,561,104/71,454
  6. Step 6: Final answer
    x = 168,269.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.