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Finding the Third Proportional to 62,646.75 and 135,172.13

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Solution

The third proportional to 62,646.75 and 135,172.13 is: 291,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,646.75 : 135,172.13 = 135,172.13 : x
  2. Step 2: Convert to fraction form
    62,646.75/135,172.13 = 135,172.13/x
  3. Step 3: Cross multiply
    62,646.75x = 135,172.13 × 135,172.13
  4. Step 4: Simplify right side
    62,646.75x = 18,271,503,377.02
  5. Step 5: Solve for x
    x = 18,271,503,377.02/62,646.75
  6. Step 6: Final answer
    x = 291,659.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.