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Finding the Third Proportional to 80,145 and 124,087.50

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Solution

The third proportional to 80,145 and 124,087.50 is: 192,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,145 : 124,087.50 = 124,087.50 : x
  2. Step 2: Convert to fraction form
    80,145/124,087.50 = 124,087.50/x
  3. Step 3: Cross multiply
    80,145x = 124,087.50 × 124,087.50
  4. Step 4: Simplify right side
    80,145x = 15,397,707,656.25
  5. Step 5: Solve for x
    x = 15,397,707,656.25/80,145
  6. Step 6: Final answer
    x = 192,123.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.