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Finding the Third Proportional to 102,793 and 117,556

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Solution

The third proportional to 102,793 and 117,556 is: 134,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,793 : 117,556 = 117,556 : x
  2. Step 2: Convert to fraction form
    102,793/117,556 = 117,556/x
  3. Step 3: Cross multiply
    102,793x = 117,556 × 117,556
  4. Step 4: Simplify right side
    102,793x = 13,819,413,136
  5. Step 5: Solve for x
    x = 13,819,413,136/102,793
  6. Step 6: Final answer
    x = 134,439.24

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.