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Finding the Third Proportional to 141,123 and 201,174

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Solution

The third proportional to 141,123 and 201,174 is: 286,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,123 : 201,174 = 201,174 : x
  2. Step 2: Convert to fraction form
    141,123/201,174 = 201,174/x
  3. Step 3: Cross multiply
    141,123x = 201,174 × 201,174
  4. Step 4: Simplify right side
    141,123x = 40,470,978,276
  5. Step 5: Solve for x
    x = 40,470,978,276/141,123
  6. Step 6: Final answer
    x = 286,778.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.