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Finding the Third Proportional to 75,334.50 and 113,973.75

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Solution

The third proportional to 75,334.50 and 113,973.75 is: 172,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,334.50 : 113,973.75 = 113,973.75 : x
  2. Step 2: Convert to fraction form
    75,334.50/113,973.75 = 113,973.75/x
  3. Step 3: Cross multiply
    75,334.50x = 113,973.75 × 113,973.75
  4. Step 4: Simplify right side
    75,334.50x = 12,990,015,689.06
  5. Step 5: Solve for x
    x = 12,990,015,689.06/75,334.50
  6. Step 6: Final answer
    x = 172,431.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.