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Finding the Third Proportional to 55,601 and 121,030

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Solution

The third proportional to 55,601 and 121,030 is: 263,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,601 : 121,030 = 121,030 : x
  2. Step 2: Convert to fraction form
    55,601/121,030 = 121,030/x
  3. Step 3: Cross multiply
    55,601x = 121,030 × 121,030
  4. Step 4: Simplify right side
    55,601x = 14,648,260,900
  5. Step 5: Solve for x
    x = 14,648,260,900/55,601
  6. Step 6: Final answer
    x = 263,453.19

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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.