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Finding the Third Proportional to 52,117.59 and 108,643.78

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Solution

The third proportional to 52,117.59 and 108,643.78 is: 226,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,117.59 : 108,643.78 = 108,643.78 : x
  2. Step 2: Convert to fraction form
    52,117.59/108,643.78 = 108,643.78/x
  3. Step 3: Cross multiply
    52,117.59x = 108,643.78 × 108,643.78
  4. Step 4: Simplify right side
    52,117.59x = 11,803,471,204.30
  5. Step 5: Solve for x
    x = 11,803,471,204.30/52,117.59
  6. Step 6: Final answer
    x = 226,477.67

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.