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Finding the Third Proportional to 42,927 and 89,772.38

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Solution

The third proportional to 42,927 and 89,772.38 is: 187,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,927 : 89,772.38 = 89,772.38 : x
  2. Step 2: Convert to fraction form
    42,927/89,772.38 = 89,772.38/x
  3. Step 3: Cross multiply
    42,927x = 89,772.38 × 89,772.38
  4. Step 4: Simplify right side
    42,927x = 8,059,079,313.14
  5. Step 5: Solve for x
    x = 8,059,079,313.14/42,927
  6. Step 6: Final answer
    x = 187,739.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.