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Finding the Third Proportional to 66,424 and 98,695

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Solution

The third proportional to 66,424 and 98,695 is: 146,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,424 : 98,695 = 98,695 : x
  2. Step 2: Convert to fraction form
    66,424/98,695 = 98,695/x
  3. Step 3: Cross multiply
    66,424x = 98,695 × 98,695
  4. Step 4: Simplify right side
    66,424x = 9,740,703,025
  5. Step 5: Solve for x
    x = 9,740,703,025/66,424
  6. Step 6: Final answer
    x = 146,644.33

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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.