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Finding the Third Proportional to 53,214 and 112,917

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Solution

The third proportional to 53,214 and 112,917 is: 239,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,214 : 112,917 = 112,917 : x
  2. Step 2: Convert to fraction form
    53,214/112,917 = 112,917/x
  3. Step 3: Cross multiply
    53,214x = 112,917 × 112,917
  4. Step 4: Simplify right side
    53,214x = 12,750,248,889
  5. Step 5: Solve for x
    x = 12,750,248,889/53,214
  6. Step 6: Final answer
    x = 239,603.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.