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Finding the Third Proportional to 55,038 and 120,586

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Solution

The third proportional to 55,038 and 120,586 is: 264,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,038 : 120,586 = 120,586 : x
  2. Step 2: Convert to fraction form
    55,038/120,586 = 120,586/x
  3. Step 3: Cross multiply
    55,038x = 120,586 × 120,586
  4. Step 4: Simplify right side
    55,038x = 14,540,983,396
  5. Step 5: Solve for x
    x = 14,540,983,396/55,038
  6. Step 6: Final answer
    x = 264,198.98

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Why These Related Problems?

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