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Finding the Third Proportional to 25,734 and 56,202

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Solution

The third proportional to 25,734 and 56,202 is: 122,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734 : 56,202 = 56,202 : x
  2. Step 2: Convert to fraction form
    25,734/56,202 = 56,202/x
  3. Step 3: Cross multiply
    25,734x = 56,202 × 56,202
  4. Step 4: Simplify right side
    25,734x = 3,158,664,804
  5. Step 5: Solve for x
    x = 3,158,664,804/25,734
  6. Step 6: Final answer
    x = 122,742.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.