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Finding the Third Proportional to 59,551 and 127,738

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Solution

The third proportional to 59,551 and 127,738 is: 274,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,551 : 127,738 = 127,738 : x
  2. Step 2: Convert to fraction form
    59,551/127,738 = 127,738/x
  3. Step 3: Cross multiply
    59,551x = 127,738 × 127,738
  4. Step 4: Simplify right side
    59,551x = 16,316,996,644
  5. Step 5: Solve for x
    x = 16,316,996,644/59,551
  6. Step 6: Final answer
    x = 274,000.38

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Why These Related Problems?

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