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Finding the Third Proportional to 73,212 and 109,788

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Solution

The third proportional to 73,212 and 109,788 is: 164,637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,212 : 109,788 = 109,788 : x
  2. Step 2: Convert to fraction form
    73,212/109,788 = 109,788/x
  3. Step 3: Cross multiply
    73,212x = 109,788 × 109,788
  4. Step 4: Simplify right side
    73,212x = 12,053,404,944
  5. Step 5: Solve for x
    x = 12,053,404,944/73,212
  6. Step 6: Final answer
    x = 164,637.01

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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.