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Finding the Third Proportional to 75,438.75 and 113,347.13

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Solution

The third proportional to 75,438.75 and 113,347.13 is: 170,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,438.75 : 113,347.13 = 113,347.13 : x
  2. Step 2: Convert to fraction form
    75,438.75/113,347.13 = 113,347.13/x
  3. Step 3: Cross multiply
    75,438.75x = 113,347.13 × 113,347.13
  4. Step 4: Simplify right side
    75,438.75x = 12,847,570,745.77
  5. Step 5: Solve for x
    x = 12,847,570,745.77/75,438.75
  6. Step 6: Final answer
    x = 170,304.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.