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Finding the Third Proportional to 43,748 and 67,870

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Solution

The third proportional to 43,748 and 67,870 is: 105,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,748 : 67,870 = 67,870 : x
  2. Step 2: Convert to fraction form
    43,748/67,870 = 67,870/x
  3. Step 3: Cross multiply
    43,748x = 67,870 × 67,870
  4. Step 4: Simplify right side
    43,748x = 4,606,336,900
  5. Step 5: Solve for x
    x = 4,606,336,900/43,748
  6. Step 6: Final answer
    x = 105,292.51

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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.