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Finding the Third Proportional to 52,898 and 115,292

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Solution

The third proportional to 52,898 and 115,292 is: 251,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,898 : 115,292 = 115,292 : x
  2. Step 2: Convert to fraction form
    52,898/115,292 = 115,292/x
  3. Step 3: Cross multiply
    52,898x = 115,292 × 115,292
  4. Step 4: Simplify right side
    52,898x = 13,292,245,264
  5. Step 5: Solve for x
    x = 13,292,245,264/52,898
  6. Step 6: Final answer
    x = 251,280.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.