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Finding the Third Proportional to 54,560 and 114,624

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Solution

The third proportional to 54,560 and 114,624 is: 240,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,560 : 114,624 = 114,624 : x
  2. Step 2: Convert to fraction form
    54,560/114,624 = 114,624/x
  3. Step 3: Cross multiply
    54,560x = 114,624 × 114,624
  4. Step 4: Simplify right side
    54,560x = 13,138,661,376
  5. Step 5: Solve for x
    x = 13,138,661,376/54,560
  6. Step 6: Final answer
    x = 240,811.24

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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.