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Finding the Third Proportional to 57,764 and 119,403

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Solution

The third proportional to 57,764 and 119,403 is: 246,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764 : 119,403 = 119,403 : x
  2. Step 2: Convert to fraction form
    57,764/119,403 = 119,403/x
  3. Step 3: Cross multiply
    57,764x = 119,403 × 119,403
  4. Step 4: Simplify right side
    57,764x = 14,257,076,409
  5. Step 5: Solve for x
    x = 14,257,076,409/57,764
  6. Step 6: Final answer
    x = 246,815.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.