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Finding the Third Proportional to 52,317 and 111,815

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Solution

The third proportional to 52,317 and 111,815 is: 238,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,317 : 111,815 = 111,815 : x
  2. Step 2: Convert to fraction form
    52,317/111,815 = 111,815/x
  3. Step 3: Cross multiply
    52,317x = 111,815 × 111,815
  4. Step 4: Simplify right side
    52,317x = 12,502,594,225
  5. Step 5: Solve for x
    x = 12,502,594,225/52,317
  6. Step 6: Final answer
    x = 238,977.66

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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.