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Finding the Third Proportional to 57,776 and 125,964

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Solution

The third proportional to 57,776 and 125,964 is: 274,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776 : 125,964 = 125,964 : x
  2. Step 2: Convert to fraction form
    57,776/125,964 = 125,964/x
  3. Step 3: Cross multiply
    57,776x = 125,964 × 125,964
  4. Step 4: Simplify right side
    57,776x = 15,866,929,296
  5. Step 5: Solve for x
    x = 15,866,929,296/57,776
  6. Step 6: Final answer
    x = 274,628.38

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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.