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Finding the Third Proportional to 67,161 and 144,814.50

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Solution

The third proportional to 67,161 and 144,814.50 is: 312,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,161 : 144,814.50 = 144,814.50 : x
  2. Step 2: Convert to fraction form
    67,161/144,814.50 = 144,814.50/x
  3. Step 3: Cross multiply
    67,161x = 144,814.50 × 144,814.50
  4. Step 4: Simplify right side
    67,161x = 20,971,239,410.25
  5. Step 5: Solve for x
    x = 20,971,239,410.25/67,161
  6. Step 6: Final answer
    x = 312,253.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.