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Finding the Third Proportional to 80,114 and 117,987

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Solution

The third proportional to 80,114 and 117,987 is: 173,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,114 : 117,987 = 117,987 : x
  2. Step 2: Convert to fraction form
    80,114/117,987 = 117,987/x
  3. Step 3: Cross multiply
    80,114x = 117,987 × 117,987
  4. Step 4: Simplify right side
    80,114x = 13,920,932,169
  5. Step 5: Solve for x
    x = 13,920,932,169/80,114
  6. Step 6: Final answer
    x = 173,764.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.