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Finding the Third Proportional to 81,593 and 119,257

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Solution

The third proportional to 81,593 and 119,257 is: 174,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,593 : 119,257 = 119,257 : x
  2. Step 2: Convert to fraction form
    81,593/119,257 = 119,257/x
  3. Step 3: Cross multiply
    81,593x = 119,257 × 119,257
  4. Step 4: Simplify right side
    81,593x = 14,222,232,049
  5. Step 5: Solve for x
    x = 14,222,232,049/81,593
  6. Step 6: Final answer
    x = 174,307.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.