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Finding the Third Proportional to 71,018 and 107,823

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Solution

The third proportional to 71,018 and 107,823 is: 163,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,018 : 107,823 = 107,823 : x
  2. Step 2: Convert to fraction form
    71,018/107,823 = 107,823/x
  3. Step 3: Cross multiply
    71,018x = 107,823 × 107,823
  4. Step 4: Simplify right side
    71,018x = 11,625,799,329
  5. Step 5: Solve for x
    x = 11,625,799,329/71,018
  6. Step 6: Final answer
    x = 163,702.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.