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Finding the Third Proportional to 49,209 and 115,532.25

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Solution

The third proportional to 49,209 and 115,532.25 is: 271,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209 : 115,532.25 = 115,532.25 : x
  2. Step 2: Convert to fraction form
    49,209/115,532.25 = 115,532.25/x
  3. Step 3: Cross multiply
    49,209x = 115,532.25 × 115,532.25
  4. Step 4: Simplify right side
    49,209x = 13,347,700,790.06
  5. Step 5: Solve for x
    x = 13,347,700,790.06/49,209
  6. Step 6: Final answer
    x = 271,245.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.