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Finding the Third Proportional to 66,132 and 155,926

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Solution

The third proportional to 66,132 and 155,926 is: 367,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,132 : 155,926 = 155,926 : x
  2. Step 2: Convert to fraction form
    66,132/155,926 = 155,926/x
  3. Step 3: Cross multiply
    66,132x = 155,926 × 155,926
  4. Step 4: Simplify right side
    66,132x = 24,312,917,476
  5. Step 5: Solve for x
    x = 24,312,917,476/66,132
  6. Step 6: Final answer
    x = 367,642.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.