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Finding the Third Proportional to 66,426 and 98,693

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Solution

The third proportional to 66,426 and 98,693 is: 146,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,426 : 98,693 = 98,693 : x
  2. Step 2: Convert to fraction form
    66,426/98,693 = 98,693/x
  3. Step 3: Cross multiply
    66,426x = 98,693 × 98,693
  4. Step 4: Simplify right side
    66,426x = 9,740,308,249
  5. Step 5: Solve for x
    x = 9,740,308,249/66,426
  6. Step 6: Final answer
    x = 146,633.97

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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.