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Finding the Third Proportional to 59,286 and 84,390

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Solution

The third proportional to 59,286 and 84,390 is: 120,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,286 : 84,390 = 84,390 : x
  2. Step 2: Convert to fraction form
    59,286/84,390 = 84,390/x
  3. Step 3: Cross multiply
    59,286x = 84,390 × 84,390
  4. Step 4: Simplify right side
    59,286x = 7,121,672,100
  5. Step 5: Solve for x
    x = 7,121,672,100/59,286
  6. Step 6: Final answer
    x = 120,124.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.