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Finding the Third Proportional to 81,780 and 123,076

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Solution

The third proportional to 81,780 and 123,076 is: 185,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,780 : 123,076 = 123,076 : x
  2. Step 2: Convert to fraction form
    81,780/123,076 = 123,076/x
  3. Step 3: Cross multiply
    81,780x = 123,076 × 123,076
  4. Step 4: Simplify right side
    81,780x = 15,147,701,776
  5. Step 5: Solve for x
    x = 15,147,701,776/81,780
  6. Step 6: Final answer
    x = 185,225.02

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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.