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Finding the Third Proportional to 52,764 and 124,554

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Solution

The third proportional to 52,764 and 124,554 is: 294,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,764 : 124,554 = 124,554 : x
  2. Step 2: Convert to fraction form
    52,764/124,554 = 124,554/x
  3. Step 3: Cross multiply
    52,764x = 124,554 × 124,554
  4. Step 4: Simplify right side
    52,764x = 15,513,698,916
  5. Step 5: Solve for x
    x = 15,513,698,916/52,764
  6. Step 6: Final answer
    x = 294,020.52

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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.