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Finding the Third Proportional to 68,514 and 106,029

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Solution

The third proportional to 68,514 and 106,029 is: 164,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,514 : 106,029 = 106,029 : x
  2. Step 2: Convert to fraction form
    68,514/106,029 = 106,029/x
  3. Step 3: Cross multiply
    68,514x = 106,029 × 106,029
  4. Step 4: Simplify right side
    68,514x = 11,242,148,841
  5. Step 5: Solve for x
    x = 11,242,148,841/68,514
  6. Step 6: Final answer
    x = 164,085.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.