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Finding the Third Proportional to 52,870 and 114,452

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Solution

The third proportional to 52,870 and 114,452 is: 247,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870 : 114,452 = 114,452 : x
  2. Step 2: Convert to fraction form
    52,870/114,452 = 114,452/x
  3. Step 3: Cross multiply
    52,870x = 114,452 × 114,452
  4. Step 4: Simplify right side
    52,870x = 13,099,260,304
  5. Step 5: Solve for x
    x = 13,099,260,304/52,870
  6. Step 6: Final answer
    x = 247,763.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.