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Finding the Third Proportional to 76,180 and 116,862

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Solution

The third proportional to 76,180 and 116,862 is: 179,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,180 : 116,862 = 116,862 : x
  2. Step 2: Convert to fraction form
    76,180/116,862 = 116,862/x
  3. Step 3: Cross multiply
    76,180x = 116,862 × 116,862
  4. Step 4: Simplify right side
    76,180x = 13,656,727,044
  5. Step 5: Solve for x
    x = 13,656,727,044/76,180
  6. Step 6: Final answer
    x = 179,269.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.