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Finding the Third Proportional to 52,105 and 112,317

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Solution

The third proportional to 52,105 and 112,317 is: 242,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105 : 112,317 = 112,317 : x
  2. Step 2: Convert to fraction form
    52,105/112,317 = 112,317/x
  3. Step 3: Cross multiply
    52,105x = 112,317 × 112,317
  4. Step 4: Simplify right side
    52,105x = 12,615,108,489
  5. Step 5: Solve for x
    x = 12,615,108,489/52,105
  6. Step 6: Final answer
    x = 242,109.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.