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Finding the Third Proportional to 56,392.14 and 75,169.58

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Solution

The third proportional to 56,392.14 and 75,169.58 is: 100,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,392.14 : 75,169.58 = 75,169.58 : x
  2. Step 2: Convert to fraction form
    56,392.14/75,169.58 = 75,169.58/x
  3. Step 3: Cross multiply
    56,392.14x = 75,169.58 × 75,169.58
  4. Step 4: Simplify right side
    56,392.14x = 5,650,466,062.75
  5. Step 5: Solve for x
    x = 5,650,466,062.75/56,392.14
  6. Step 6: Final answer
    x = 100,199.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.