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Finding the Third Proportional to 66,842 and 157,757

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Solution

The third proportional to 66,842 and 157,757 is: 372,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,842 : 157,757 = 157,757 : x
  2. Step 2: Convert to fraction form
    66,842/157,757 = 157,757/x
  3. Step 3: Cross multiply
    66,842x = 157,757 × 157,757
  4. Step 4: Simplify right side
    66,842x = 24,887,271,049
  5. Step 5: Solve for x
    x = 24,887,271,049/66,842
  6. Step 6: Final answer
    x = 372,329.84

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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.