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Finding the Third Proportional to 57,386 and 124,301

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Solution

The third proportional to 57,386 and 124,301 is: 269,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,386 : 124,301 = 124,301 : x
  2. Step 2: Convert to fraction form
    57,386/124,301 = 124,301/x
  3. Step 3: Cross multiply
    57,386x = 124,301 × 124,301
  4. Step 4: Simplify right side
    57,386x = 15,450,738,601
  5. Step 5: Solve for x
    x = 15,450,738,601/57,386
  6. Step 6: Final answer
    x = 269,242.30

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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.