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Finding the Third Proportional to 59,592 and 82,088

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Solution

The third proportional to 59,592 and 82,088 is: 113,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,592 : 82,088 = 82,088 : x
  2. Step 2: Convert to fraction form
    59,592/82,088 = 82,088/x
  3. Step 3: Cross multiply
    59,592x = 82,088 × 82,088
  4. Step 4: Simplify right side
    59,592x = 6,738,439,744
  5. Step 5: Solve for x
    x = 6,738,439,744/59,592
  6. Step 6: Final answer
    x = 113,076.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.