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Finding the Third Proportional to 52,501.92 and 115,209.84

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Solution

The third proportional to 52,501.92 and 115,209.84 is: 252,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,501.92 : 115,209.84 = 115,209.84 : x
  2. Step 2: Convert to fraction form
    52,501.92/115,209.84 = 115,209.84/x
  3. Step 3: Cross multiply
    52,501.92x = 115,209.84 × 115,209.84
  4. Step 4: Simplify right side
    52,501.92x = 13,273,308,096.90
  5. Step 5: Solve for x
    x = 13,273,308,096.90/52,501.92
  6. Step 6: Final answer
    x = 252,815.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.