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Finding the Third Proportional to 65,334 and 95,479

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Solution

The third proportional to 65,334 and 95,479 is: 139,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,334 : 95,479 = 95,479 : x
  2. Step 2: Convert to fraction form
    65,334/95,479 = 95,479/x
  3. Step 3: Cross multiply
    65,334x = 95,479 × 95,479
  4. Step 4: Simplify right side
    65,334x = 9,116,239,441
  5. Step 5: Solve for x
    x = 9,116,239,441/65,334
  6. Step 6: Final answer
    x = 139,532.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.