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Finding the Third Proportional to 52,617 and 111,805.50

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Solution

The third proportional to 52,617 and 111,805.50 is: 237,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,617 : 111,805.50 = 111,805.50 : x
  2. Step 2: Convert to fraction form
    52,617/111,805.50 = 111,805.50/x
  3. Step 3: Cross multiply
    52,617x = 111,805.50 × 111,805.50
  4. Step 4: Simplify right side
    52,617x = 12,500,469,830.25
  5. Step 5: Solve for x
    x = 12,500,469,830.25/52,617
  6. Step 6: Final answer
    x = 237,574.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.