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Finding the Third Proportional to 42,292 and 91,272

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Solution

The third proportional to 42,292 and 91,272 is: 196,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,292 : 91,272 = 91,272 : x
  2. Step 2: Convert to fraction form
    42,292/91,272 = 91,272/x
  3. Step 3: Cross multiply
    42,292x = 91,272 × 91,272
  4. Step 4: Simplify right side
    42,292x = 8,330,577,984
  5. Step 5: Solve for x
    x = 8,330,577,984/42,292
  6. Step 6: Final answer
    x = 196,977.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.