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Finding the Third Proportional to 76,862 and 118,755

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Solution

The third proportional to 76,862 and 118,755 is: 183,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,862 : 118,755 = 118,755 : x
  2. Step 2: Convert to fraction form
    76,862/118,755 = 118,755/x
  3. Step 3: Cross multiply
    76,862x = 118,755 × 118,755
  4. Step 4: Simplify right side
    76,862x = 14,102,750,025
  5. Step 5: Solve for x
    x = 14,102,750,025/76,862
  6. Step 6: Final answer
    x = 183,481.43

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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.