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Finding the Third Proportional to 57,598 and 124,840

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Solution

The third proportional to 57,598 and 124,840 is: 270,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,598 : 124,840 = 124,840 : x
  2. Step 2: Convert to fraction form
    57,598/124,840 = 124,840/x
  3. Step 3: Cross multiply
    57,598x = 124,840 × 124,840
  4. Step 4: Simplify right side
    57,598x = 15,585,025,600
  5. Step 5: Solve for x
    x = 15,585,025,600/57,598
  6. Step 6: Final answer
    x = 270,582.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.