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Finding the Third Proportional to 66,616 and 98,908

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Solution

The third proportional to 66,616 and 98,908 is: 146,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,616 : 98,908 = 98,908 : x
  2. Step 2: Convert to fraction form
    66,616/98,908 = 98,908/x
  3. Step 3: Cross multiply
    66,616x = 98,908 × 98,908
  4. Step 4: Simplify right side
    66,616x = 9,782,792,464
  5. Step 5: Solve for x
    x = 9,782,792,464/66,616
  6. Step 6: Final answer
    x = 146,853.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.