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Finding the Third Proportional to 59,126 and 127,000

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Solution

The third proportional to 59,126 and 127,000 is: 272,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,126 : 127,000 = 127,000 : x
  2. Step 2: Convert to fraction form
    59,126/127,000 = 127,000/x
  3. Step 3: Cross multiply
    59,126x = 127,000 × 127,000
  4. Step 4: Simplify right side
    59,126x = 16,129,000,000
  5. Step 5: Solve for x
    x = 16,129,000,000/59,126
  6. Step 6: Final answer
    x = 272,790.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.