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Finding the Third Proportional to 56,095.50 and 122,751

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Solution

The third proportional to 56,095.50 and 122,751 is: 268,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,095.50 : 122,751 = 122,751 : x
  2. Step 2: Convert to fraction form
    56,095.50/122,751 = 122,751/x
  3. Step 3: Cross multiply
    56,095.50x = 122,751 × 122,751
  4. Step 4: Simplify right side
    56,095.50x = 15,067,808,001
  5. Step 5: Solve for x
    x = 15,067,808,001/56,095.50
  6. Step 6: Final answer
    x = 268,609.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.