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Finding the Third Proportional to 71,330.63 and 150,616.13

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Solution

The third proportional to 71,330.63 and 150,616.13 is: 318,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,330.63 : 150,616.13 = 150,616.13 : x
  2. Step 2: Convert to fraction form
    71,330.63/150,616.13 = 150,616.13/x
  3. Step 3: Cross multiply
    71,330.63x = 150,616.13 × 150,616.13
  4. Step 4: Simplify right side
    71,330.63x = 22,685,217,110.02
  5. Step 5: Solve for x
    x = 22,685,217,110.02/71,330.63
  6. Step 6: Final answer
    x = 318,029.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.