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Finding the Third Proportional to 78,374 and 169,870

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Solution

The third proportional to 78,374 and 169,870 is: 368,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374 : 169,870 = 169,870 : x
  2. Step 2: Convert to fraction form
    78,374/169,870 = 169,870/x
  3. Step 3: Cross multiply
    78,374x = 169,870 × 169,870
  4. Step 4: Simplify right side
    78,374x = 28,855,816,900
  5. Step 5: Solve for x
    x = 28,855,816,900/78,374
  6. Step 6: Final answer
    x = 368,180.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.