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Finding the Third Proportional to 42,696 and 91,560

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Solution

The third proportional to 42,696 and 91,560 is: 196,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,696 : 91,560 = 91,560 : x
  2. Step 2: Convert to fraction form
    42,696/91,560 = 91,560/x
  3. Step 3: Cross multiply
    42,696x = 91,560 × 91,560
  4. Step 4: Simplify right side
    42,696x = 8,383,233,600
  5. Step 5: Solve for x
    x = 8,383,233,600/42,696
  6. Step 6: Final answer
    x = 196,347.05

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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.