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Finding the Third Proportional to 84,840 and 127,452

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Solution

The third proportional to 84,840 and 127,452 is: 191,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,840 : 127,452 = 127,452 : x
  2. Step 2: Convert to fraction form
    84,840/127,452 = 127,452/x
  3. Step 3: Cross multiply
    84,840x = 127,452 × 127,452
  4. Step 4: Simplify right side
    84,840x = 16,244,012,304
  5. Step 5: Solve for x
    x = 16,244,012,304/84,840
  6. Step 6: Final answer
    x = 191,466.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.