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Finding the Third Proportional to 71,065.13 and 154,658.25

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Solution

The third proportional to 71,065.13 and 154,658.25 is: 336,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,065.13 : 154,658.25 = 154,658.25 : x
  2. Step 2: Convert to fraction form
    71,065.13/154,658.25 = 154,658.25/x
  3. Step 3: Cross multiply
    71,065.13x = 154,658.25 × 154,658.25
  4. Step 4: Simplify right side
    71,065.13x = 23,919,174,293.06
  5. Step 5: Solve for x
    x = 23,919,174,293.06/71,065.13
  6. Step 6: Final answer
    x = 336,581.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.