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Finding the Third Proportional to 62,655 and 135,697.50

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Solution

The third proportional to 62,655 and 135,697.50 is: 293,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,655 : 135,697.50 = 135,697.50 : x
  2. Step 2: Convert to fraction form
    62,655/135,697.50 = 135,697.50/x
  3. Step 3: Cross multiply
    62,655x = 135,697.50 × 135,697.50
  4. Step 4: Simplify right side
    62,655x = 18,413,811,506.25
  5. Step 5: Solve for x
    x = 18,413,811,506.25/62,655
  6. Step 6: Final answer
    x = 293,892.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.