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Finding the Third Proportional to 71,029.13 and 144,506.25

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Solution

The third proportional to 71,029.13 and 144,506.25 is: 293,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,029.13 : 144,506.25 = 144,506.25 : x
  2. Step 2: Convert to fraction form
    71,029.13/144,506.25 = 144,506.25/x
  3. Step 3: Cross multiply
    71,029.13x = 144,506.25 × 144,506.25
  4. Step 4: Simplify right side
    71,029.13x = 20,882,056,289.06
  5. Step 5: Solve for x
    x = 20,882,056,289.06/71,029.13
  6. Step 6: Final answer
    x = 293,992.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.