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Finding the Third Proportional to 71,823.38 and 145,698.75

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Solution

The third proportional to 71,823.38 and 145,698.75 is: 295,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,823.38 : 145,698.75 = 145,698.75 : x
  2. Step 2: Convert to fraction form
    71,823.38/145,698.75 = 145,698.75/x
  3. Step 3: Cross multiply
    71,823.38x = 145,698.75 × 145,698.75
  4. Step 4: Simplify right side
    71,823.38x = 21,228,125,751.56
  5. Step 5: Solve for x
    x = 21,228,125,751.56/71,823.38
  6. Step 6: Final answer
    x = 295,560.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.