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Finding the Third Proportional to 59,176 and 89,976

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Solution

The third proportional to 59,176 and 89,976 is: 136,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,176 : 89,976 = 89,976 : x
  2. Step 2: Convert to fraction form
    59,176/89,976 = 89,976/x
  3. Step 3: Cross multiply
    59,176x = 89,976 × 89,976
  4. Step 4: Simplify right side
    59,176x = 8,095,680,576
  5. Step 5: Solve for x
    x = 8,095,680,576/59,176
  6. Step 6: Final answer
    x = 136,806.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.