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Finding the Third Proportional to 80,784 and 123,363

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Solution

The third proportional to 80,784 and 123,363 is: 188,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,784 : 123,363 = 123,363 : x
  2. Step 2: Convert to fraction form
    80,784/123,363 = 123,363/x
  3. Step 3: Cross multiply
    80,784x = 123,363 × 123,363
  4. Step 4: Simplify right side
    80,784x = 15,218,429,769
  5. Step 5: Solve for x
    x = 15,218,429,769/80,784
  6. Step 6: Final answer
    x = 188,384.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.