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Finding the Third Proportional to 73,287 and 109,499

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Solution

The third proportional to 73,287 and 109,499 is: 163,603.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,287 : 109,499 = 109,499 : x
  2. Step 2: Convert to fraction form
    73,287/109,499 = 109,499/x
  3. Step 3: Cross multiply
    73,287x = 109,499 × 109,499
  4. Step 4: Simplify right side
    73,287x = 11,990,031,001
  5. Step 5: Solve for x
    x = 11,990,031,001/73,287
  6. Step 6: Final answer
    x = 163,603.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.