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Finding the Third Proportional to 80,514 and 121,317.75

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Solution

The third proportional to 80,514 and 121,317.75 is: 182,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,514 : 121,317.75 = 121,317.75 : x
  2. Step 2: Convert to fraction form
    80,514/121,317.75 = 121,317.75/x
  3. Step 3: Cross multiply
    80,514x = 121,317.75 × 121,317.75
  4. Step 4: Simplify right side
    80,514x = 14,717,996,465.06
  5. Step 5: Solve for x
    x = 14,717,996,465.06/80,514
  6. Step 6: Final answer
    x = 182,800.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.