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Finding the Third Proportional to 79,864 and 123,646

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Solution

The third proportional to 79,864 and 123,646 is: 191,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,864 : 123,646 = 123,646 : x
  2. Step 2: Convert to fraction form
    79,864/123,646 = 123,646/x
  3. Step 3: Cross multiply
    79,864x = 123,646 × 123,646
  4. Step 4: Simplify right side
    79,864x = 15,288,333,316
  5. Step 5: Solve for x
    x = 15,288,333,316/79,864
  6. Step 6: Final answer
    x = 191,429.60

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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.