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Finding the Third Proportional to 59,523.75 and 127,158.75

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Solution

The third proportional to 59,523.75 and 127,158.75 is: 271,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,523.75 : 127,158.75 = 127,158.75 : x
  2. Step 2: Convert to fraction form
    59,523.75/127,158.75 = 127,158.75/x
  3. Step 3: Cross multiply
    59,523.75x = 127,158.75 × 127,158.75
  4. Step 4: Simplify right side
    59,523.75x = 16,169,347,701.56
  5. Step 5: Solve for x
    x = 16,169,347,701.56/59,523.75
  6. Step 6: Final answer
    x = 271,645.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.