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Finding the Third Proportional to 121,807.50 and 179,019

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Solution

The third proportional to 121,807.50 and 179,019 is: 263,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,807.50 : 179,019 = 179,019 : x
  2. Step 2: Convert to fraction form
    121,807.50/179,019 = 179,019/x
  3. Step 3: Cross multiply
    121,807.50x = 179,019 × 179,019
  4. Step 4: Simplify right side
    121,807.50x = 32,047,802,361
  5. Step 5: Solve for x
    x = 32,047,802,361/121,807.50
  6. Step 6: Final answer
    x = 263,102.05

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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.