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Finding the Third Proportional to 66,661 and 93,754

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Solution

The third proportional to 66,661 and 93,754 is: 131,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,661 : 93,754 = 93,754 : x
  2. Step 2: Convert to fraction form
    66,661/93,754 = 93,754/x
  3. Step 3: Cross multiply
    66,661x = 93,754 × 93,754
  4. Step 4: Simplify right side
    66,661x = 8,789,812,516
  5. Step 5: Solve for x
    x = 8,789,812,516/66,661
  6. Step 6: Final answer
    x = 131,858.40

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Why These Related Problems?

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