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Finding the Third Proportional to 66,993 and 106,639.50

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Solution

The third proportional to 66,993 and 106,639.50 is: 169,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,993 : 106,639.50 = 106,639.50 : x
  2. Step 2: Convert to fraction form
    66,993/106,639.50 = 106,639.50/x
  3. Step 3: Cross multiply
    66,993x = 106,639.50 × 106,639.50
  4. Step 4: Simplify right side
    66,993x = 11,371,982,960.25
  5. Step 5: Solve for x
    x = 11,371,982,960.25/66,993
  6. Step 6: Final answer
    x = 169,748.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.