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Finding the Third Proportional to 147,069 and 176,229

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Solution

The third proportional to 147,069 and 176,229 is: 211,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,069 : 176,229 = 176,229 : x
  2. Step 2: Convert to fraction form
    147,069/176,229 = 176,229/x
  3. Step 3: Cross multiply
    147,069x = 176,229 × 176,229
  4. Step 4: Simplify right side
    147,069x = 31,056,660,441
  5. Step 5: Solve for x
    x = 31,056,660,441/147,069
  6. Step 6: Final answer
    x = 211,170.68

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.