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Finding the Third Proportional to 66,466 and 98,738

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Solution

The third proportional to 66,466 and 98,738 is: 146,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,466 : 98,738 = 98,738 : x
  2. Step 2: Convert to fraction form
    66,466/98,738 = 98,738/x
  3. Step 3: Cross multiply
    66,466x = 98,738 × 98,738
  4. Step 4: Simplify right side
    66,466x = 9,749,192,644
  5. Step 5: Solve for x
    x = 9,749,192,644/66,466
  6. Step 6: Final answer
    x = 146,679.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.