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Finding the Third Proportional to 59,106.75 and 88,722

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Solution

The third proportional to 59,106.75 and 88,722 is: 133,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,106.75 : 88,722 = 88,722 : x
  2. Step 2: Convert to fraction form
    59,106.75/88,722 = 88,722/x
  3. Step 3: Cross multiply
    59,106.75x = 88,722 × 88,722
  4. Step 4: Simplify right side
    59,106.75x = 7,871,593,284
  5. Step 5: Solve for x
    x = 7,871,593,284/59,106.75
  6. Step 6: Final answer
    x = 133,175.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.