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Finding the Third Proportional to 52,520 and 112,422

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Solution

The third proportional to 52,520 and 112,422 is: 240,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,520 : 112,422 = 112,422 : x
  2. Step 2: Convert to fraction form
    52,520/112,422 = 112,422/x
  3. Step 3: Cross multiply
    52,520x = 112,422 × 112,422
  4. Step 4: Simplify right side
    52,520x = 12,638,706,084
  5. Step 5: Solve for x
    x = 12,638,706,084/52,520
  6. Step 6: Final answer
    x = 240,645.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.