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Finding the Third Proportional to 104,066.50 and 154,947.50

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Solution

The third proportional to 104,066.50 and 154,947.50 is: 230,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,066.50 : 154,947.50 = 154,947.50 : x
  2. Step 2: Convert to fraction form
    104,066.50/154,947.50 = 154,947.50/x
  3. Step 3: Cross multiply
    104,066.50x = 154,947.50 × 154,947.50
  4. Step 4: Simplify right side
    104,066.50x = 24,008,727,756.25
  5. Step 5: Solve for x
    x = 24,008,727,756.25/104,066.50
  6. Step 6: Final answer
    x = 230,705.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.