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Finding the Third Proportional to 54,416 and 114,340

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Solution

The third proportional to 54,416 and 114,340 is: 240,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,416 : 114,340 = 114,340 : x
  2. Step 2: Convert to fraction form
    54,416/114,340 = 114,340/x
  3. Step 3: Cross multiply
    54,416x = 114,340 × 114,340
  4. Step 4: Simplify right side
    54,416x = 13,073,635,600
  5. Step 5: Solve for x
    x = 13,073,635,600/54,416
  6. Step 6: Final answer
    x = 240,253.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.