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Finding the Third Proportional to 62,271 and 135,014

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Solution

The third proportional to 62,271 and 135,014 is: 292,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,271 : 135,014 = 135,014 : x
  2. Step 2: Convert to fraction form
    62,271/135,014 = 135,014/x
  3. Step 3: Cross multiply
    62,271x = 135,014 × 135,014
  4. Step 4: Simplify right side
    62,271x = 18,228,780,196
  5. Step 5: Solve for x
    x = 18,228,780,196/62,271
  6. Step 6: Final answer
    x = 292,733.06

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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.