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Finding the Third Proportional to 49,281 and 115,413

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Solution

The third proportional to 49,281 and 115,413 is: 270,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,281 : 115,413 = 115,413 : x
  2. Step 2: Convert to fraction form
    49,281/115,413 = 115,413/x
  3. Step 3: Cross multiply
    49,281x = 115,413 × 115,413
  4. Step 4: Simplify right side
    49,281x = 13,320,160,569
  5. Step 5: Solve for x
    x = 13,320,160,569/49,281
  6. Step 6: Final answer
    x = 270,289.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.