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Finding the Third Proportional to 124,713.42 and 282,717.84

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Solution

The third proportional to 124,713.42 and 282,717.84 is: 640,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,713.42 : 282,717.84 = 282,717.84 : x
  2. Step 2: Convert to fraction form
    124,713.42/282,717.84 = 282,717.84/x
  3. Step 3: Cross multiply
    124,713.42x = 282,717.84 × 282,717.84
  4. Step 4: Simplify right side
    124,713.42x = 79,929,379,174.65
  5. Step 5: Solve for x
    x = 79,929,379,174.65/124,713.42
  6. Step 6: Final answer
    x = 640,904.39

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.