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Finding the Third Proportional to 75,226.50 and 114,321

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Solution

The third proportional to 75,226.50 and 114,321 is: 173,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,226.50 : 114,321 = 114,321 : x
  2. Step 2: Convert to fraction form
    75,226.50/114,321 = 114,321/x
  3. Step 3: Cross multiply
    75,226.50x = 114,321 × 114,321
  4. Step 4: Simplify right side
    75,226.50x = 13,069,291,041
  5. Step 5: Solve for x
    x = 13,069,291,041/75,226.50
  6. Step 6: Final answer
    x = 173,732.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.