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Finding the Third Proportional to 71,145.84 and 113,202.88

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Solution

The third proportional to 71,145.84 and 113,202.88 is: 180,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145.84 : 113,202.88 = 113,202.88 : x
  2. Step 2: Convert to fraction form
    71,145.84/113,202.88 = 113,202.88/x
  3. Step 3: Cross multiply
    71,145.84x = 113,202.88 × 113,202.88
  4. Step 4: Simplify right side
    71,145.84x = 12,814,891,792.66
  5. Step 5: Solve for x
    x = 12,814,891,792.66/71,145.84
  6. Step 6: Final answer
    x = 180,121.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.