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Finding the Third Proportional to 59,001.75 and 127,842.75

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Solution

The third proportional to 59,001.75 and 127,842.75 is: 277,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,001.75 : 127,842.75 = 127,842.75 : x
  2. Step 2: Convert to fraction form
    59,001.75/127,842.75 = 127,842.75/x
  3. Step 3: Cross multiply
    59,001.75x = 127,842.75 × 127,842.75
  4. Step 4: Simplify right side
    59,001.75x = 16,343,768,727.56
  5. Step 5: Solve for x
    x = 16,343,768,727.56/59,001.75
  6. Step 6: Final answer
    x = 277,004.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.