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Finding the Third Proportional to 65,717 and 92,987

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Solution

The third proportional to 65,717 and 92,987 is: 131,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,717 : 92,987 = 92,987 : x
  2. Step 2: Convert to fraction form
    65,717/92,987 = 92,987/x
  3. Step 3: Cross multiply
    65,717x = 92,987 × 92,987
  4. Step 4: Simplify right side
    65,717x = 8,646,582,169
  5. Step 5: Solve for x
    x = 8,646,582,169/65,717
  6. Step 6: Final answer
    x = 131,572.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.