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Finding the Third Proportional to 59,105.25 and 88,719.75

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Solution

The third proportional to 59,105.25 and 88,719.75 is: 133,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,105.25 : 88,719.75 = 88,719.75 : x
  2. Step 2: Convert to fraction form
    59,105.25/88,719.75 = 88,719.75/x
  3. Step 3: Cross multiply
    59,105.25x = 88,719.75 × 88,719.75
  4. Step 4: Simplify right side
    59,105.25x = 7,871,194,040.06
  5. Step 5: Solve for x
    x = 7,871,194,040.06/59,105.25
  6. Step 6: Final answer
    x = 133,172.50

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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.