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Finding the Third Proportional to 79,776 and 123,508

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Solution

The third proportional to 79,776 and 123,508 is: 191,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,776 : 123,508 = 123,508 : x
  2. Step 2: Convert to fraction form
    79,776/123,508 = 123,508/x
  3. Step 3: Cross multiply
    79,776x = 123,508 × 123,508
  4. Step 4: Simplify right side
    79,776x = 15,254,226,064
  5. Step 5: Solve for x
    x = 15,254,226,064/79,776
  6. Step 6: Final answer
    x = 191,213.22

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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.