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Finding the Third Proportional to 81,267.75 and 107,862.19

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Solution

The third proportional to 81,267.75 and 107,862.19 is: 143,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,267.75 : 107,862.19 = 107,862.19 : x
  2. Step 2: Convert to fraction form
    81,267.75/107,862.19 = 107,862.19/x
  3. Step 3: Cross multiply
    81,267.75x = 107,862.19 × 107,862.19
  4. Step 4: Simplify right side
    81,267.75x = 11,634,251,492.29
  5. Step 5: Solve for x
    x = 11,634,251,492.29/81,267.75
  6. Step 6: Final answer
    x = 143,159.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.