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Finding the Third Proportional to 66,882 and 157,875

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Solution

The third proportional to 66,882 and 157,875 is: 372,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,882 : 157,875 = 157,875 : x
  2. Step 2: Convert to fraction form
    66,882/157,875 = 157,875/x
  3. Step 3: Cross multiply
    66,882x = 157,875 × 157,875
  4. Step 4: Simplify right side
    66,882x = 24,924,515,625
  5. Step 5: Solve for x
    x = 24,924,515,625/66,882
  6. Step 6: Final answer
    x = 372,664.03

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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.