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Finding the Third Proportional to 79,428 and 123,498

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Solution

The third proportional to 79,428 and 123,498 is: 192,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,428 : 123,498 = 123,498 : x
  2. Step 2: Convert to fraction form
    79,428/123,498 = 123,498/x
  3. Step 3: Cross multiply
    79,428x = 123,498 × 123,498
  4. Step 4: Simplify right side
    79,428x = 15,251,756,004
  5. Step 5: Solve for x
    x = 15,251,756,004/79,428
  6. Step 6: Final answer
    x = 192,019.89

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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.