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Finding the Third Proportional to 49,140 and 115,416

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Solution

The third proportional to 49,140 and 115,416 is: 271,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,140 : 115,416 = 115,416 : x
  2. Step 2: Convert to fraction form
    49,140/115,416 = 115,416/x
  3. Step 3: Cross multiply
    49,140x = 115,416 × 115,416
  4. Step 4: Simplify right side
    49,140x = 13,320,853,056
  5. Step 5: Solve for x
    x = 13,320,853,056/49,140
  6. Step 6: Final answer
    x = 271,079.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.