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Finding the Third Proportional to 65,197.13 and 137,516.06

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Solution

The third proportional to 65,197.13 and 137,516.06 is: 290,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.13 : 137,516.06 = 137,516.06 : x
  2. Step 2: Convert to fraction form
    65,197.13/137,516.06 = 137,516.06/x
  3. Step 3: Cross multiply
    65,197.13x = 137,516.06 × 137,516.06
  4. Step 4: Simplify right side
    65,197.13x = 18,910,667,445.50
  5. Step 5: Solve for x
    x = 18,910,667,445.50/65,197.13
  6. Step 6: Final answer
    x = 290,053.70

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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.