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Finding the Third Proportional to 66,330 and 93,768.75

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Solution

The third proportional to 66,330 and 93,768.75 is: 132,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,330 : 93,768.75 = 93,768.75 : x
  2. Step 2: Convert to fraction form
    66,330/93,768.75 = 93,768.75/x
  3. Step 3: Cross multiply
    66,330x = 93,768.75 × 93,768.75
  4. Step 4: Simplify right side
    66,330x = 8,792,578,476.56
  5. Step 5: Solve for x
    x = 8,792,578,476.56/66,330
  6. Step 6: Final answer
    x = 132,558.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.