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Finding the Third Proportional to 76,470.75 and 118,270.13

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Solution

The third proportional to 76,470.75 and 118,270.13 is: 182,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470.75 : 118,270.13 = 118,270.13 : x
  2. Step 2: Convert to fraction form
    76,470.75/118,270.13 = 118,270.13/x
  3. Step 3: Cross multiply
    76,470.75x = 118,270.13 × 118,270.13
  4. Step 4: Simplify right side
    76,470.75x = 13,987,822,467.52
  5. Step 5: Solve for x
    x = 13,987,822,467.52/76,470.75
  6. Step 6: Final answer
    x = 182,917.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.