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Finding the Third Proportional to 52,293 and 114,567

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Solution

The third proportional to 52,293 and 114,567 is: 251,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,293 : 114,567 = 114,567 : x
  2. Step 2: Convert to fraction form
    52,293/114,567 = 114,567/x
  3. Step 3: Cross multiply
    52,293x = 114,567 × 114,567
  4. Step 4: Simplify right side
    52,293x = 13,125,597,489
  5. Step 5: Solve for x
    x = 13,125,597,489/52,293
  6. Step 6: Final answer
    x = 251,001.04

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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.