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Finding the Third Proportional to 67,870 and 147,788

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Solution

The third proportional to 67,870 and 147,788 is: 321,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,870 : 147,788 = 147,788 : x
  2. Step 2: Convert to fraction form
    67,870/147,788 = 147,788/x
  3. Step 3: Cross multiply
    67,870x = 147,788 × 147,788
  4. Step 4: Simplify right side
    67,870x = 21,841,292,944
  5. Step 5: Solve for x
    x = 21,841,292,944/67,870
  6. Step 6: Final answer
    x = 321,810.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.