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Finding the Third Proportional to 75,433.50 and 157,066.88

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Solution

The third proportional to 75,433.50 and 157,066.88 is: 327,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433.50 : 157,066.88 = 157,066.88 : x
  2. Step 2: Convert to fraction form
    75,433.50/157,066.88 = 157,066.88/x
  3. Step 3: Cross multiply
    75,433.50x = 157,066.88 × 157,066.88
  4. Step 4: Simplify right side
    75,433.50x = 24,670,003,222.27
  5. Step 5: Solve for x
    x = 24,670,003,222.27/75,433.50
  6. Step 6: Final answer
    x = 327,043.07

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.