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Finding the Third Proportional to 57,773 and 125,959

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Solution

The third proportional to 57,773 and 125,959 is: 274,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,773 : 125,959 = 125,959 : x
  2. Step 2: Convert to fraction form
    57,773/125,959 = 125,959/x
  3. Step 3: Cross multiply
    57,773x = 125,959 × 125,959
  4. Step 4: Simplify right side
    57,773x = 15,865,669,681
  5. Step 5: Solve for x
    x = 15,865,669,681/57,773
  6. Step 6: Final answer
    x = 274,620.84

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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.