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Finding the Third Proportional to 62,205 and 134,909

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Solution

The third proportional to 62,205 and 134,909 is: 292,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,205 : 134,909 = 134,909 : x
  2. Step 2: Convert to fraction form
    62,205/134,909 = 134,909/x
  3. Step 3: Cross multiply
    62,205x = 134,909 × 134,909
  4. Step 4: Simplify right side
    62,205x = 18,200,438,281
  5. Step 5: Solve for x
    x = 18,200,438,281/62,205
  6. Step 6: Final answer
    x = 292,588.03

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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.