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Finding the Third Proportional to 43,237 and 94,675

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Solution

The third proportional to 43,237 and 94,675 is: 207,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,237 : 94,675 = 94,675 : x
  2. Step 2: Convert to fraction form
    43,237/94,675 = 94,675/x
  3. Step 3: Cross multiply
    43,237x = 94,675 × 94,675
  4. Step 4: Simplify right side
    43,237x = 8,963,355,625
  5. Step 5: Solve for x
    x = 8,963,355,625/43,237
  6. Step 6: Final answer
    x = 207,307.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.