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Finding the Third Proportional to 42,617 and 92,670

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Solution

The third proportional to 42,617 and 92,670 is: 201,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,617 : 92,670 = 92,670 : x
  2. Step 2: Convert to fraction form
    42,617/92,670 = 92,670/x
  3. Step 3: Cross multiply
    42,617x = 92,670 × 92,670
  4. Step 4: Simplify right side
    42,617x = 8,587,728,900
  5. Step 5: Solve for x
    x = 8,587,728,900/42,617
  6. Step 6: Final answer
    x = 201,509.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.