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Finding the Third Proportional to 52,754 and 124,532

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Solution

The third proportional to 52,754 and 124,532 is: 293,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,754 : 124,532 = 124,532 : x
  2. Step 2: Convert to fraction form
    52,754/124,532 = 124,532/x
  3. Step 3: Cross multiply
    52,754x = 124,532 × 124,532
  4. Step 4: Simplify right side
    52,754x = 15,508,219,024
  5. Step 5: Solve for x
    x = 15,508,219,024/52,754
  6. Step 6: Final answer
    x = 293,972.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.