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Finding the Third Proportional to 53,754 and 125,523

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Solution

The third proportional to 53,754 and 125,523 is: 293,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,754 : 125,523 = 125,523 : x
  2. Step 2: Convert to fraction form
    53,754/125,523 = 125,523/x
  3. Step 3: Cross multiply
    53,754x = 125,523 × 125,523
  4. Step 4: Simplify right side
    53,754x = 15,756,023,529
  5. Step 5: Solve for x
    x = 15,756,023,529/53,754
  6. Step 6: Final answer
    x = 293,113.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.