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Finding the Third Proportional to 89,359 and 191,673

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Solution

The third proportional to 89,359 and 191,673 is: 411,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,359 : 191,673 = 191,673 : x
  2. Step 2: Convert to fraction form
    89,359/191,673 = 191,673/x
  3. Step 3: Cross multiply
    89,359x = 191,673 × 191,673
  4. Step 4: Simplify right side
    89,359x = 36,738,538,929
  5. Step 5: Solve for x
    x = 36,738,538,929/89,359
  6. Step 6: Final answer
    x = 411,134.18

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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.