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Finding the Third Proportional to 66,796 and 89,394

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Solution

The third proportional to 66,796 and 89,394 is: 119,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,796 : 89,394 = 89,394 : x
  2. Step 2: Convert to fraction form
    66,796/89,394 = 89,394/x
  3. Step 3: Cross multiply
    66,796x = 89,394 × 89,394
  4. Step 4: Simplify right side
    66,796x = 7,991,287,236
  5. Step 5: Solve for x
    x = 7,991,287,236/66,796
  6. Step 6: Final answer
    x = 119,637.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.