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Finding the Third Proportional to 52,828 and 117,320

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Solution

The third proportional to 52,828 and 117,320 is: 260,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828 : 117,320 = 117,320 : x
  2. Step 2: Convert to fraction form
    52,828/117,320 = 117,320/x
  3. Step 3: Cross multiply
    52,828x = 117,320 × 117,320
  4. Step 4: Simplify right side
    52,828x = 13,763,982,400
  5. Step 5: Solve for x
    x = 13,763,982,400/52,828
  6. Step 6: Final answer
    x = 260,543.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.