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Finding the Third Proportional to 76,691 and 117,833

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Solution

The third proportional to 76,691 and 117,833 is: 181,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,691 : 117,833 = 117,833 : x
  2. Step 2: Convert to fraction form
    76,691/117,833 = 117,833/x
  3. Step 3: Cross multiply
    76,691x = 117,833 × 117,833
  4. Step 4: Simplify right side
    76,691x = 13,884,615,889
  5. Step 5: Solve for x
    x = 13,884,615,889/76,691
  6. Step 6: Final answer
    x = 181,046.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.