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Finding the Third Proportional to 55,599 and 121,026

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Solution

The third proportional to 55,599 and 121,026 is: 263,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,599 : 121,026 = 121,026 : x
  2. Step 2: Convert to fraction form
    55,599/121,026 = 121,026/x
  3. Step 3: Cross multiply
    55,599x = 121,026 × 121,026
  4. Step 4: Simplify right side
    55,599x = 14,647,292,676
  5. Step 5: Solve for x
    x = 14,647,292,676/55,599
  6. Step 6: Final answer
    x = 263,445.25

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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.