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Finding the Third Proportional to 73,236 and 109,854

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Solution

The third proportional to 73,236 and 109,854 is: 164,781

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,236 : 109,854 = 109,854 : x
  2. Step 2: Convert to fraction form
    73,236/109,854 = 109,854/x
  3. Step 3: Cross multiply
    73,236x = 109,854 × 109,854
  4. Step 4: Simplify right side
    73,236x = 12,067,901,316
  5. Step 5: Solve for x
    x = 12,067,901,316/73,236
  6. Step 6: Final answer
    x = 164,781

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.