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Finding the Third Proportional to 70,149.38 and 155,064.38

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Solution

The third proportional to 70,149.38 and 155,064.38 is: 342,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149.38 : 155,064.38 = 155,064.38 : x
  2. Step 2: Convert to fraction form
    70,149.38/155,064.38 = 155,064.38/x
  3. Step 3: Cross multiply
    70,149.38x = 155,064.38 × 155,064.38
  4. Step 4: Simplify right side
    70,149.38x = 24,044,960,394.14
  5. Step 5: Solve for x
    x = 24,044,960,394.14/70,149.38
  6. Step 6: Final answer
    x = 342,767.99

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.