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Finding the Third Proportional to 121,918.50 and 179,344.13

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Solution

The third proportional to 121,918.50 and 179,344.13 is: 263,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,918.50 : 179,344.13 = 179,344.13 : x
  2. Step 2: Convert to fraction form
    121,918.50/179,344.13 = 179,344.13/x
  3. Step 3: Cross multiply
    121,918.50x = 179,344.13 × 179,344.13
  4. Step 4: Simplify right side
    121,918.50x = 32,164,315,172.02
  5. Step 5: Solve for x
    x = 32,164,315,172.02/121,918.50
  6. Step 6: Final answer
    x = 263,818.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.