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Finding the Third Proportional to 81,870.75 and 123,111

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Solution

The third proportional to 81,870.75 and 123,111 is: 185,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870.75 : 123,111 = 123,111 : x
  2. Step 2: Convert to fraction form
    81,870.75/123,111 = 123,111/x
  3. Step 3: Cross multiply
    81,870.75x = 123,111 × 123,111
  4. Step 4: Simplify right side
    81,870.75x = 15,156,318,321
  5. Step 5: Solve for x
    x = 15,156,318,321/81,870.75
  6. Step 6: Final answer
    x = 185,124.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.