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Finding the Third Proportional to 66,675 and 157,393

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Solution

The third proportional to 66,675 and 157,393 is: 371,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,675 : 157,393 = 157,393 : x
  2. Step 2: Convert to fraction form
    66,675/157,393 = 157,393/x
  3. Step 3: Cross multiply
    66,675x = 157,393 × 157,393
  4. Step 4: Simplify right side
    66,675x = 24,772,556,449
  5. Step 5: Solve for x
    x = 24,772,556,449/66,675
  6. Step 6: Final answer
    x = 371,541.90

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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.