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Finding the Third Proportional to 66,653 and 157,344

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Solution

The third proportional to 66,653 and 157,344 is: 371,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,653 : 157,344 = 157,344 : x
  2. Step 2: Convert to fraction form
    66,653/157,344 = 157,344/x
  3. Step 3: Cross multiply
    66,653x = 157,344 × 157,344
  4. Step 4: Simplify right side
    66,653x = 24,757,134,336
  5. Step 5: Solve for x
    x = 24,757,134,336/66,653
  6. Step 6: Final answer
    x = 371,433.16

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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.