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Finding the Third Proportional to 30,611 and 66,118

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Solution

The third proportional to 30,611 and 66,118 is: 142,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611 : 66,118 = 66,118 : x
  2. Step 2: Convert to fraction form
    30,611/66,118 = 66,118/x
  3. Step 3: Cross multiply
    30,611x = 66,118 × 66,118
  4. Step 4: Simplify right side
    30,611x = 4,371,589,924
  5. Step 5: Solve for x
    x = 4,371,589,924/30,611
  6. Step 6: Final answer
    x = 142,811.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.