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Finding the Third Proportional to 85,599 and 123,934.50

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Solution

The third proportional to 85,599 and 123,934.50 is: 179,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,599 : 123,934.50 = 123,934.50 : x
  2. Step 2: Convert to fraction form
    85,599/123,934.50 = 123,934.50/x
  3. Step 3: Cross multiply
    85,599x = 123,934.50 × 123,934.50
  4. Step 4: Simplify right side
    85,599x = 15,359,760,290.25
  5. Step 5: Solve for x
    x = 15,359,760,290.25/85,599
  6. Step 6: Final answer
    x = 179,438.55

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.