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Finding the Third Proportional to 52,838 and 124,634

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Solution

The third proportional to 52,838 and 124,634 is: 293,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,838 : 124,634 = 124,634 : x
  2. Step 2: Convert to fraction form
    52,838/124,634 = 124,634/x
  3. Step 3: Cross multiply
    52,838x = 124,634 × 124,634
  4. Step 4: Simplify right side
    52,838x = 15,533,633,956
  5. Step 5: Solve for x
    x = 15,533,633,956/52,838
  6. Step 6: Final answer
    x = 293,986.03

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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.