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Finding the Third Proportional to 57,562 and 124,582

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Solution

The third proportional to 57,562 and 124,582 is: 269,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,562 : 124,582 = 124,582 : x
  2. Step 2: Convert to fraction form
    57,562/124,582 = 124,582/x
  3. Step 3: Cross multiply
    57,562x = 124,582 × 124,582
  4. Step 4: Simplify right side
    57,562x = 15,520,674,724
  5. Step 5: Solve for x
    x = 15,520,674,724/57,562
  6. Step 6: Final answer
    x = 269,634.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.