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Finding the Third Proportional to 81,808 and 173,502

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Solution

The third proportional to 81,808 and 173,502 is: 367,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808 : 173,502 = 173,502 : x
  2. Step 2: Convert to fraction form
    81,808/173,502 = 173,502/x
  3. Step 3: Cross multiply
    81,808x = 173,502 × 173,502
  4. Step 4: Simplify right side
    81,808x = 30,102,944,004
  5. Step 5: Solve for x
    x = 30,102,944,004/81,808
  6. Step 6: Final answer
    x = 367,970.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.