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Finding the Third Proportional to 57,669 and 125,773

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Solution

The third proportional to 57,669 and 125,773 is: 274,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,669 : 125,773 = 125,773 : x
  2. Step 2: Convert to fraction form
    57,669/125,773 = 125,773/x
  3. Step 3: Cross multiply
    57,669x = 125,773 × 125,773
  4. Step 4: Simplify right side
    57,669x = 15,818,847,529
  5. Step 5: Solve for x
    x = 15,818,847,529/57,669
  6. Step 6: Final answer
    x = 274,304.18

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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.