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Finding the Third Proportional to 25,653 and 55,139

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Solution

The third proportional to 25,653 and 55,139 is: 118,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653 : 55,139 = 55,139 : x
  2. Step 2: Convert to fraction form
    25,653/55,139 = 55,139/x
  3. Step 3: Cross multiply
    25,653x = 55,139 × 55,139
  4. Step 4: Simplify right side
    25,653x = 3,040,309,321
  5. Step 5: Solve for x
    x = 3,040,309,321/25,653
  6. Step 6: Final answer
    x = 118,516.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.