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Finding the Third Proportional to 61,380 and 128,214

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Solution

The third proportional to 61,380 and 128,214 is: 267,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,380 : 128,214 = 128,214 : x
  2. Step 2: Convert to fraction form
    61,380/128,214 = 128,214/x
  3. Step 3: Cross multiply
    61,380x = 128,214 × 128,214
  4. Step 4: Simplify right side
    61,380x = 16,438,829,796
  5. Step 5: Solve for x
    x = 16,438,829,796/61,380
  6. Step 6: Final answer
    x = 267,820.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.