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Finding the Third Proportional to 59,171.50 and 127,820

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Solution

The third proportional to 59,171.50 and 127,820 is: 276,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,171.50 : 127,820 = 127,820 : x
  2. Step 2: Convert to fraction form
    59,171.50/127,820 = 127,820/x
  3. Step 3: Cross multiply
    59,171.50x = 127,820 × 127,820
  4. Step 4: Simplify right side
    59,171.50x = 16,337,952,400
  5. Step 5: Solve for x
    x = 16,337,952,400/59,171.50
  6. Step 6: Final answer
    x = 276,111.85

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