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Finding the Third Proportional to 61,347 and 134,214

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Solution

The third proportional to 61,347 and 134,214 is: 293,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,347 : 134,214 = 134,214 : x
  2. Step 2: Convert to fraction form
    61,347/134,214 = 134,214/x
  3. Step 3: Cross multiply
    61,347x = 134,214 × 134,214
  4. Step 4: Simplify right side
    61,347x = 18,013,397,796
  5. Step 5: Solve for x
    x = 18,013,397,796/61,347
  6. Step 6: Final answer
    x = 293,631.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.