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Finding the Third Proportional to 56,442 and 123,378.56

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Solution

The third proportional to 56,442 and 123,378.56 is: 269,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442 : 123,378.56 = 123,378.56 : x
  2. Step 2: Convert to fraction form
    56,442/123,378.56 = 123,378.56/x
  3. Step 3: Cross multiply
    56,442x = 123,378.56 × 123,378.56
  4. Step 4: Simplify right side
    56,442x = 15,222,269,684.57
  5. Step 5: Solve for x
    x = 15,222,269,684.57/56,442
  6. Step 6: Final answer
    x = 269,697.56

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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.