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Finding the Third Proportional to 54,532 and 117,415

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Solution

The third proportional to 54,532 and 117,415 is: 252,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,532 : 117,415 = 117,415 : x
  2. Step 2: Convert to fraction form
    54,532/117,415 = 117,415/x
  3. Step 3: Cross multiply
    54,532x = 117,415 × 117,415
  4. Step 4: Simplify right side
    54,532x = 13,786,282,225
  5. Step 5: Solve for x
    x = 13,786,282,225/54,532
  6. Step 6: Final answer
    x = 252,810.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.