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Finding the Third Proportional to 70,581.38 and 152,877.38

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Solution

The third proportional to 70,581.38 and 152,877.38 is: 331,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,581.38 : 152,877.38 = 152,877.38 : x
  2. Step 2: Convert to fraction form
    70,581.38/152,877.38 = 152,877.38/x
  3. Step 3: Cross multiply
    70,581.38x = 152,877.38 × 152,877.38
  4. Step 4: Simplify right side
    70,581.38x = 23,371,491,786.89
  5. Step 5: Solve for x
    x = 23,371,491,786.89/70,581.38
  6. Step 6: Final answer
    x = 331,128.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.