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Finding the Third Proportional to 27,372 and 59,120

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Solution

The third proportional to 27,372 and 59,120 is: 127,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,372 : 59,120 = 59,120 : x
  2. Step 2: Convert to fraction form
    27,372/59,120 = 59,120/x
  3. Step 3: Cross multiply
    27,372x = 59,120 × 59,120
  4. Step 4: Simplify right side
    27,372x = 3,495,174,400
  5. Step 5: Solve for x
    x = 3,495,174,400/27,372
  6. Step 6: Final answer
    x = 127,691.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.