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Finding the Third Proportional to 52,304 and 115,165

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Solution

The third proportional to 52,304 and 115,165 is: 253,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304 : 115,165 = 115,165 : x
  2. Step 2: Convert to fraction form
    52,304/115,165 = 115,165/x
  3. Step 3: Cross multiply
    52,304x = 115,165 × 115,165
  4. Step 4: Simplify right side
    52,304x = 13,262,977,225
  5. Step 5: Solve for x
    x = 13,262,977,225/52,304
  6. Step 6: Final answer
    x = 253,574.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.