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Finding the Third Proportional to 52,637 and 115,115

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Solution

The third proportional to 52,637 and 115,115 is: 251,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,637 : 115,115 = 115,115 : x
  2. Step 2: Convert to fraction form
    52,637/115,115 = 115,115/x
  3. Step 3: Cross multiply
    52,637x = 115,115 × 115,115
  4. Step 4: Simplify right side
    52,637x = 13,251,463,225
  5. Step 5: Solve for x
    x = 13,251,463,225/52,637
  6. Step 6: Final answer
    x = 251,751.87

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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.