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Finding the Third Proportional to 71,546.63 and 155,395.13

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Solution

The third proportional to 71,546.63 and 155,395.13 is: 337,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546.63 : 155,395.13 = 155,395.13 : x
  2. Step 2: Convert to fraction form
    71,546.63/155,395.13 = 155,395.13/x
  3. Step 3: Cross multiply
    71,546.63x = 155,395.13 × 155,395.13
  4. Step 4: Simplify right side
    71,546.63x = 24,147,644,873.77
  5. Step 5: Solve for x
    x = 24,147,644,873.77/71,546.63
  6. Step 6: Final answer
    x = 337,509.21

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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.