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Finding the Third Proportional to 52,522.17 and 110,477.67

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Solution

The third proportional to 52,522.17 and 110,477.67 is: 232,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522.17 : 110,477.67 = 110,477.67 : x
  2. Step 2: Convert to fraction form
    52,522.17/110,477.67 = 110,477.67/x
  3. Step 3: Cross multiply
    52,522.17x = 110,477.67 × 110,477.67
  4. Step 4: Simplify right side
    52,522.17x = 12,205,315,982.92
  5. Step 5: Solve for x
    x = 12,205,315,982.92/52,522.17
  6. Step 6: Final answer
    x = 232,384.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.