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Finding the Third Proportional to 62,214 and 83,823

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Solution

The third proportional to 62,214 and 83,823 is: 112,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,214 : 83,823 = 83,823 : x
  2. Step 2: Convert to fraction form
    62,214/83,823 = 83,823/x
  3. Step 3: Cross multiply
    62,214x = 83,823 × 83,823
  4. Step 4: Simplify right side
    62,214x = 7,026,295,329
  5. Step 5: Solve for x
    x = 7,026,295,329/62,214
  6. Step 6: Final answer
    x = 112,937.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.