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Finding the Third Proportional to 75,271 and 113,545

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Solution

The third proportional to 75,271 and 113,545 is: 171,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271 : 113,545 = 113,545 : x
  2. Step 2: Convert to fraction form
    75,271/113,545 = 113,545/x
  3. Step 3: Cross multiply
    75,271x = 113,545 × 113,545
  4. Step 4: Simplify right side
    75,271x = 12,892,467,025
  5. Step 5: Solve for x
    x = 12,892,467,025/75,271
  6. Step 6: Final answer
    x = 171,280.67

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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.