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Finding the Third Proportional to 69,027.75 and 109,103.63

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Solution

The third proportional to 69,027.75 and 109,103.63 is: 172,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,027.75 : 109,103.63 = 109,103.63 : x
  2. Step 2: Convert to fraction form
    69,027.75/109,103.63 = 109,103.63/x
  3. Step 3: Cross multiply
    69,027.75x = 109,103.63 × 109,103.63
  4. Step 4: Simplify right side
    69,027.75x = 11,903,600,988.14
  5. Step 5: Solve for x
    x = 11,903,600,988.14/69,027.75
  6. Step 6: Final answer
    x = 172,446.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.