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Finding the Third Proportional to 57,256.88 and 82,468.13

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Solution

The third proportional to 57,256.88 and 82,468.13 is: 118,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,256.88 : 82,468.13 = 82,468.13 : x
  2. Step 2: Convert to fraction form
    57,256.88/82,468.13 = 82,468.13/x
  3. Step 3: Cross multiply
    57,256.88x = 82,468.13 × 82,468.13
  4. Step 4: Simplify right side
    57,256.88x = 6,800,991,641.02
  5. Step 5: Solve for x
    x = 6,800,991,641.02/57,256.88
  6. Step 6: Final answer
    x = 118,780.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.