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Finding the Third Proportional to 73,188 and 159,804

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Solution

The third proportional to 73,188 and 159,804 is: 348,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,188 : 159,804 = 159,804 : x
  2. Step 2: Convert to fraction form
    73,188/159,804 = 159,804/x
  3. Step 3: Cross multiply
    73,188x = 159,804 × 159,804
  4. Step 4: Simplify right side
    73,188x = 25,537,318,416
  5. Step 5: Solve for x
    x = 25,537,318,416/73,188
  6. Step 6: Final answer
    x = 348,927.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.