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Finding the Third Proportional to 78,000 and 123,987

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Solution

The third proportional to 78,000 and 123,987 is: 197,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000 : 123,987 = 123,987 : x
  2. Step 2: Convert to fraction form
    78,000/123,987 = 123,987/x
  3. Step 3: Cross multiply
    78,000x = 123,987 × 123,987
  4. Step 4: Simplify right side
    78,000x = 15,372,776,169
  5. Step 5: Solve for x
    x = 15,372,776,169/78,000
  6. Step 6: Final answer
    x = 197,086.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.