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Finding the Third Proportional to 65,747 and 96,519

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Solution

The third proportional to 65,747 and 96,519 is: 141,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,747 : 96,519 = 96,519 : x
  2. Step 2: Convert to fraction form
    65,747/96,519 = 96,519/x
  3. Step 3: Cross multiply
    65,747x = 96,519 × 96,519
  4. Step 4: Simplify right side
    65,747x = 9,315,917,361
  5. Step 5: Solve for x
    x = 9,315,917,361/65,747
  6. Step 6: Final answer
    x = 141,693.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.