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Finding the Third Proportional to 57,588 and 124,606

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Solution

The third proportional to 57,588 and 124,606 is: 269,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,588 : 124,606 = 124,606 : x
  2. Step 2: Convert to fraction form
    57,588/124,606 = 124,606/x
  3. Step 3: Cross multiply
    57,588x = 124,606 × 124,606
  4. Step 4: Simplify right side
    57,588x = 15,526,655,236
  5. Step 5: Solve for x
    x = 15,526,655,236/57,588
  6. Step 6: Final answer
    x = 269,616.16

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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.