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Finding the Third Proportional to 57,182.63 and 125,269.88

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Solution

The third proportional to 57,182.63 and 125,269.88 is: 274,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,182.63 : 125,269.88 = 125,269.88 : x
  2. Step 2: Convert to fraction form
    57,182.63/125,269.88 = 125,269.88/x
  3. Step 3: Cross multiply
    57,182.63x = 125,269.88 × 125,269.88
  4. Step 4: Simplify right side
    57,182.63x = 15,692,541,582.52
  5. Step 5: Solve for x
    x = 15,692,541,582.52/57,182.63
  6. Step 6: Final answer
    x = 274,428.49

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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.