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Finding the Third Proportional to 52,642 and 115,124

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Solution

The third proportional to 52,642 and 115,124 is: 251,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642 : 115,124 = 115,124 : x
  2. Step 2: Convert to fraction form
    52,642/115,124 = 115,124/x
  3. Step 3: Cross multiply
    52,642x = 115,124 × 115,124
  4. Step 4: Simplify right side
    52,642x = 13,253,535,376
  5. Step 5: Solve for x
    x = 13,253,535,376/52,642
  6. Step 6: Final answer
    x = 251,767.32

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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.