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Finding the Third Proportional to 57,534 and 124,302

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Solution

The third proportional to 57,534 and 124,302 is: 268,554.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,534 : 124,302 = 124,302 : x
  2. Step 2: Convert to fraction form
    57,534/124,302 = 124,302/x
  3. Step 3: Cross multiply
    57,534x = 124,302 × 124,302
  4. Step 4: Simplify right side
    57,534x = 15,450,987,204
  5. Step 5: Solve for x
    x = 15,450,987,204/57,534
  6. Step 6: Final answer
    x = 268,554.02

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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.