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Finding the Third Proportional to 52,156 and 111,716

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Solution

The third proportional to 52,156 and 111,716 is: 239,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,156 : 111,716 = 111,716 : x
  2. Step 2: Convert to fraction form
    52,156/111,716 = 111,716/x
  3. Step 3: Cross multiply
    52,156x = 111,716 × 111,716
  4. Step 4: Simplify right side
    52,156x = 12,480,464,656
  5. Step 5: Solve for x
    x = 12,480,464,656/52,156
  6. Step 6: Final answer
    x = 239,291.06

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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.