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Finding the Third Proportional to 56,812 and 124,928

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Solution

The third proportional to 56,812 and 124,928 is: 274,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,812 : 124,928 = 124,928 : x
  2. Step 2: Convert to fraction form
    56,812/124,928 = 124,928/x
  3. Step 3: Cross multiply
    56,812x = 124,928 × 124,928
  4. Step 4: Simplify right side
    56,812x = 15,607,005,184
  5. Step 5: Solve for x
    x = 15,607,005,184/56,812
  6. Step 6: Final answer
    x = 274,713.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.