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Finding the Third Proportional to 70,188 and 148,122

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Solution

The third proportional to 70,188 and 148,122 is: 312,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,188 : 148,122 = 148,122 : x
  2. Step 2: Convert to fraction form
    70,188/148,122 = 148,122/x
  3. Step 3: Cross multiply
    70,188x = 148,122 × 148,122
  4. Step 4: Simplify right side
    70,188x = 21,940,126,884
  5. Step 5: Solve for x
    x = 21,940,126,884/70,188
  6. Step 6: Final answer
    x = 312,590.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.