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Finding the Third Proportional to 59,380 and 79,315

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Solution

The third proportional to 59,380 and 79,315 is: 105,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,380 : 79,315 = 79,315 : x
  2. Step 2: Convert to fraction form
    59,380/79,315 = 79,315/x
  3. Step 3: Cross multiply
    59,380x = 79,315 × 79,315
  4. Step 4: Simplify right side
    59,380x = 6,290,869,225
  5. Step 5: Solve for x
    x = 6,290,869,225/59,380
  6. Step 6: Final answer
    x = 105,942.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.