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Finding the Third Proportional to 61,395.47 and 135,695.25

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Solution

The third proportional to 61,395.47 and 135,695.25 is: 299,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,395.47 : 135,695.25 = 135,695.25 : x
  2. Step 2: Convert to fraction form
    61,395.47/135,695.25 = 135,695.25/x
  3. Step 3: Cross multiply
    61,395.47x = 135,695.25 × 135,695.25
  4. Step 4: Simplify right side
    61,395.47x = 18,413,200,872.56
  5. Step 5: Solve for x
    x = 18,413,200,872.56/61,395.47
  6. Step 6: Final answer
    x = 299,911.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.