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Finding the Third Proportional to 65,822.25 and 99,315

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Solution

The third proportional to 65,822.25 and 99,315 is: 149,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,822.25 : 99,315 = 99,315 : x
  2. Step 2: Convert to fraction form
    65,822.25/99,315 = 99,315/x
  3. Step 3: Cross multiply
    65,822.25x = 99,315 × 99,315
  4. Step 4: Simplify right side
    65,822.25x = 9,863,469,225
  5. Step 5: Solve for x
    x = 9,863,469,225/65,822.25
  6. Step 6: Final answer
    x = 149,850.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.