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Finding the Third Proportional to 52,606 and 115,040

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Solution

The third proportional to 52,606 and 115,040 is: 251,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,606 : 115,040 = 115,040 : x
  2. Step 2: Convert to fraction form
    52,606/115,040 = 115,040/x
  3. Step 3: Cross multiply
    52,606x = 115,040 × 115,040
  4. Step 4: Simplify right side
    52,606x = 13,234,201,600
  5. Step 5: Solve for x
    x = 13,234,201,600/52,606
  6. Step 6: Final answer
    x = 251,572.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.