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Finding the Third Proportional to 124,744.50 and 183,282.75

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Solution

The third proportional to 124,744.50 and 183,282.75 is: 269,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,744.50 : 183,282.75 = 183,282.75 : x
  2. Step 2: Convert to fraction form
    124,744.50/183,282.75 = 183,282.75/x
  3. Step 3: Cross multiply
    124,744.50x = 183,282.75 × 183,282.75
  4. Step 4: Simplify right side
    124,744.50x = 33,592,566,447.56
  5. Step 5: Solve for x
    x = 33,592,566,447.56/124,744.50
  6. Step 6: Final answer
    x = 269,290.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.