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Finding the Third Proportional to 73,254 and 109,833

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Solution

The third proportional to 73,254 and 109,833 is: 164,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,254 : 109,833 = 109,833 : x
  2. Step 2: Convert to fraction form
    73,254/109,833 = 109,833/x
  3. Step 3: Cross multiply
    73,254x = 109,833 × 109,833
  4. Step 4: Simplify right side
    73,254x = 12,063,287,889
  5. Step 5: Solve for x
    x = 12,063,287,889/73,254
  6. Step 6: Final answer
    x = 164,677.53

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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.