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Finding the Third Proportional to 26,102 and 55,897

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Solution

The third proportional to 26,102 and 55,897 is: 119,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102 : 55,897 = 55,897 : x
  2. Step 2: Convert to fraction form
    26,102/55,897 = 55,897/x
  3. Step 3: Cross multiply
    26,102x = 55,897 × 55,897
  4. Step 4: Simplify right side
    26,102x = 3,124,474,609
  5. Step 5: Solve for x
    x = 3,124,474,609/26,102
  6. Step 6: Final answer
    x = 119,702.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.