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Finding the Third Proportional to 81,011.75 and 111,248.50

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Solution

The third proportional to 81,011.75 and 111,248.50 is: 152,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,011.75 : 111,248.50 = 111,248.50 : x
  2. Step 2: Convert to fraction form
    81,011.75/111,248.50 = 111,248.50/x
  3. Step 3: Cross multiply
    81,011.75x = 111,248.50 × 111,248.50
  4. Step 4: Simplify right side
    81,011.75x = 12,376,228,752.25
  5. Step 5: Solve for x
    x = 12,376,228,752.25/81,011.75
  6. Step 6: Final answer
    x = 152,770.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.