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Finding the Third Proportional to 115,377 and 168,529

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Solution

The third proportional to 115,377 and 168,529 is: 246,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,377 : 168,529 = 168,529 : x
  2. Step 2: Convert to fraction form
    115,377/168,529 = 168,529/x
  3. Step 3: Cross multiply
    115,377x = 168,529 × 168,529
  4. Step 4: Simplify right side
    115,377x = 28,402,023,841
  5. Step 5: Solve for x
    x = 28,402,023,841/115,377
  6. Step 6: Final answer
    x = 246,167.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.