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Finding the Third Proportional to 94,242 and 201,558

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Solution

The third proportional to 94,242 and 201,558 is: 431,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,242 : 201,558 = 201,558 : x
  2. Step 2: Convert to fraction form
    94,242/201,558 = 201,558/x
  3. Step 3: Cross multiply
    94,242x = 201,558 × 201,558
  4. Step 4: Simplify right side
    94,242x = 40,625,627,364
  5. Step 5: Solve for x
    x = 40,625,627,364/94,242
  6. Step 6: Final answer
    x = 431,077.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.