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Finding the Third Proportional to 42,602 and 91,372

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Solution

The third proportional to 42,602 and 91,372 is: 195,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,602 : 91,372 = 91,372 : x
  2. Step 2: Convert to fraction form
    42,602/91,372 = 91,372/x
  3. Step 3: Cross multiply
    42,602x = 91,372 × 91,372
  4. Step 4: Simplify right side
    42,602x = 8,348,842,384
  5. Step 5: Solve for x
    x = 8,348,842,384/42,602
  6. Step 6: Final answer
    x = 195,973.01

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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.