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Finding the Third Proportional to 54,244 and 114,320

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Solution

The third proportional to 54,244 and 114,320 is: 240,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,244 : 114,320 = 114,320 : x
  2. Step 2: Convert to fraction form
    54,244/114,320 = 114,320/x
  3. Step 3: Cross multiply
    54,244x = 114,320 × 114,320
  4. Step 4: Simplify right side
    54,244x = 13,069,062,400
  5. Step 5: Solve for x
    x = 13,069,062,400/54,244
  6. Step 6: Final answer
    x = 240,931.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.