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Finding the Third Proportional to 59,088 and 127,452

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Solution

The third proportional to 59,088 and 127,452 is: 274,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,088 : 127,452 = 127,452 : x
  2. Step 2: Convert to fraction form
    59,088/127,452 = 127,452/x
  3. Step 3: Cross multiply
    59,088x = 127,452 × 127,452
  4. Step 4: Simplify right side
    59,088x = 16,244,012,304
  5. Step 5: Solve for x
    x = 16,244,012,304/59,088
  6. Step 6: Final answer
    x = 274,912.20

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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.