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Finding the Third Proportional to 31,765 and 68,315

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Solution

The third proportional to 31,765 and 68,315 is: 146,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765 : 68,315 = 68,315 : x
  2. Step 2: Convert to fraction form
    31,765/68,315 = 68,315/x
  3. Step 3: Cross multiply
    31,765x = 68,315 × 68,315
  4. Step 4: Simplify right side
    31,765x = 4,666,939,225
  5. Step 5: Solve for x
    x = 4,666,939,225/31,765
  6. Step 6: Final answer
    x = 146,920.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.