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Finding the Third Proportional to 81,909.75 and 110,070.75

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Solution

The third proportional to 81,909.75 and 110,070.75 is: 147,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.75 : 110,070.75 = 110,070.75 : x
  2. Step 2: Convert to fraction form
    81,909.75/110,070.75 = 110,070.75/x
  3. Step 3: Cross multiply
    81,909.75x = 110,070.75 × 110,070.75
  4. Step 4: Simplify right side
    81,909.75x = 12,115,570,005.56
  5. Step 5: Solve for x
    x = 12,115,570,005.56/81,909.75
  6. Step 6: Final answer
    x = 147,913.65

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.