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Finding the Third Proportional to 88,678 and 181,499

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Solution

The third proportional to 88,678 and 181,499 is: 371,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,678 : 181,499 = 181,499 : x
  2. Step 2: Convert to fraction form
    88,678/181,499 = 181,499/x
  3. Step 3: Cross multiply
    88,678x = 181,499 × 181,499
  4. Step 4: Simplify right side
    88,678x = 32,941,887,001
  5. Step 5: Solve for x
    x = 32,941,887,001/88,678
  6. Step 6: Final answer
    x = 371,477.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.