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Finding the Third Proportional to 67,146 and 90,870

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Solution

The third proportional to 67,146 and 90,870 is: 122,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,146 : 90,870 = 90,870 : x
  2. Step 2: Convert to fraction form
    67,146/90,870 = 90,870/x
  3. Step 3: Cross multiply
    67,146x = 90,870 × 90,870
  4. Step 4: Simplify right side
    67,146x = 8,257,356,900
  5. Step 5: Solve for x
    x = 8,257,356,900/67,146
  6. Step 6: Final answer
    x = 122,976.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.