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Finding the Third Proportional to 123,048.75 and 175,956.75

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Solution

The third proportional to 123,048.75 and 175,956.75 is: 251,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,048.75 : 175,956.75 = 175,956.75 : x
  2. Step 2: Convert to fraction form
    123,048.75/175,956.75 = 175,956.75/x
  3. Step 3: Cross multiply
    123,048.75x = 175,956.75 × 175,956.75
  4. Step 4: Simplify right side
    123,048.75x = 30,960,777,870.56
  5. Step 5: Solve for x
    x = 30,960,777,870.56/123,048.75
  6. Step 6: Final answer
    x = 251,613.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.