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Finding the Third Proportional to 127,747.13 and 277,226.72

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Solution

The third proportional to 127,747.13 and 277,226.72 is: 601,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,747.13 : 277,226.72 = 277,226.72 : x
  2. Step 2: Convert to fraction form
    127,747.13/277,226.72 = 277,226.72/x
  3. Step 3: Cross multiply
    127,747.13x = 277,226.72 × 277,226.72
  4. Step 4: Simplify right side
    127,747.13x = 76,854,653,588.89
  5. Step 5: Solve for x
    x = 76,854,653,588.89/127,747.13
  6. Step 6: Final answer
    x = 601,615.52

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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.