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Finding the Third Proportional to 89,028 and 191,880

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Solution

The third proportional to 89,028 and 191,880 is: 413,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,028 : 191,880 = 191,880 : x
  2. Step 2: Convert to fraction form
    89,028/191,880 = 191,880/x
  3. Step 3: Cross multiply
    89,028x = 191,880 × 191,880
  4. Step 4: Simplify right side
    89,028x = 36,817,934,400
  5. Step 5: Solve for x
    x = 36,817,934,400/89,028
  6. Step 6: Final answer
    x = 413,554.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.