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Finding the Third Proportional to 30,118 and 66,052

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Solution

The third proportional to 30,118 and 66,052 is: 144,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,118 : 66,052 = 66,052 : x
  2. Step 2: Convert to fraction form
    30,118/66,052 = 66,052/x
  3. Step 3: Cross multiply
    30,118x = 66,052 × 66,052
  4. Step 4: Simplify right side
    30,118x = 4,362,866,704
  5. Step 5: Solve for x
    x = 4,362,866,704/30,118
  6. Step 6: Final answer
    x = 144,859.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.