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Finding the Third Proportional to 51,656 and 112,016

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Solution

The third proportional to 51,656 and 112,016 is: 242,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,656 : 112,016 = 112,016 : x
  2. Step 2: Convert to fraction form
    51,656/112,016 = 112,016/x
  3. Step 3: Cross multiply
    51,656x = 112,016 × 112,016
  4. Step 4: Simplify right side
    51,656x = 12,547,584,256
  5. Step 5: Solve for x
    x = 12,547,584,256/51,656
  6. Step 6: Final answer
    x = 242,906.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.