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Finding the Third Proportional to 65,363 and 103,868

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Solution

The third proportional to 65,363 and 103,868 is: 165,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,363 : 103,868 = 103,868 : x
  2. Step 2: Convert to fraction form
    65,363/103,868 = 103,868/x
  3. Step 3: Cross multiply
    65,363x = 103,868 × 103,868
  4. Step 4: Simplify right side
    65,363x = 10,788,561,424
  5. Step 5: Solve for x
    x = 10,788,561,424/65,363
  6. Step 6: Final answer
    x = 165,056.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.