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Finding the Third Proportional to 66,132 and 99,212

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Solution

The third proportional to 66,132 and 99,212 is: 148,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,132 : 99,212 = 99,212 : x
  2. Step 2: Convert to fraction form
    66,132/99,212 = 99,212/x
  3. Step 3: Cross multiply
    66,132x = 99,212 × 99,212
  4. Step 4: Simplify right side
    66,132x = 9,843,020,944
  5. Step 5: Solve for x
    x = 9,843,020,944/66,132
  6. Step 6: Final answer
    x = 148,839.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.