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Finding the Third Proportional to 57,710 and 124,628

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Solution

The third proportional to 57,710 and 124,628 is: 269,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710 : 124,628 = 124,628 : x
  2. Step 2: Convert to fraction form
    57,710/124,628 = 124,628/x
  3. Step 3: Cross multiply
    57,710x = 124,628 × 124,628
  4. Step 4: Simplify right side
    57,710x = 15,532,138,384
  5. Step 5: Solve for x
    x = 15,532,138,384/57,710
  6. Step 6: Final answer
    x = 269,141.20

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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.