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Finding the Third Proportional to 67,488 and 102,160

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Solution

The third proportional to 67,488 and 102,160 is: 154,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,488 : 102,160 = 102,160 : x
  2. Step 2: Convert to fraction form
    67,488/102,160 = 102,160/x
  3. Step 3: Cross multiply
    67,488x = 102,160 × 102,160
  4. Step 4: Simplify right side
    67,488x = 10,436,665,600
  5. Step 5: Solve for x
    x = 10,436,665,600/67,488
  6. Step 6: Final answer
    x = 154,644.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.