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Finding the Third Proportional to 90,172 and 140,174

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Solution

The third proportional to 90,172 and 140,174 is: 217,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,172 : 140,174 = 140,174 : x
  2. Step 2: Convert to fraction form
    90,172/140,174 = 140,174/x
  3. Step 3: Cross multiply
    90,172x = 140,174 × 140,174
  4. Step 4: Simplify right side
    90,172x = 19,648,750,276
  5. Step 5: Solve for x
    x = 19,648,750,276/90,172
  6. Step 6: Final answer
    x = 217,903.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.