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Finding the Third Proportional to 42,214 and 66,843

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Solution

The third proportional to 42,214 and 66,843 is: 105,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214 : 66,843 = 66,843 : x
  2. Step 2: Convert to fraction form
    42,214/66,843 = 66,843/x
  3. Step 3: Cross multiply
    42,214x = 66,843 × 66,843
  4. Step 4: Simplify right side
    42,214x = 4,467,986,649
  5. Step 5: Solve for x
    x = 4,467,986,649/42,214
  6. Step 6: Final answer
    x = 105,841.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.