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Finding the Third Proportional to 127,117.48 and 172,446.47

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Solution

The third proportional to 127,117.48 and 172,446.47 is: 233,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,117.48 : 172,446.47 = 172,446.47 : x
  2. Step 2: Convert to fraction form
    127,117.48/172,446.47 = 172,446.47/x
  3. Step 3: Cross multiply
    127,117.48x = 172,446.47 × 172,446.47
  4. Step 4: Simplify right side
    127,117.48x = 29,737,784,584.34
  5. Step 5: Solve for x
    x = 29,737,784,584.34/127,117.48
  6. Step 6: Final answer
    x = 233,939.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.