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Finding the Third Proportional to 57,323.64 and 124,524.21

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Solution

The third proportional to 57,323.64 and 124,524.21 is: 270,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,323.64 : 124,524.21 = 124,524.21 : x
  2. Step 2: Convert to fraction form
    57,323.64/124,524.21 = 124,524.21/x
  3. Step 3: Cross multiply
    57,323.64x = 124,524.21 × 124,524.21
  4. Step 4: Simplify right side
    57,323.64x = 15,506,279,109.61
  5. Step 5: Solve for x
    x = 15,506,279,109.61/57,323.64
  6. Step 6: Final answer
    x = 270,504.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.