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Finding the Third Proportional to 40,349 and 86,237

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Solution

The third proportional to 40,349 and 86,237 is: 184,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,349 : 86,237 = 86,237 : x
  2. Step 2: Convert to fraction form
    40,349/86,237 = 86,237/x
  3. Step 3: Cross multiply
    40,349x = 86,237 × 86,237
  4. Step 4: Simplify right side
    40,349x = 7,436,820,169
  5. Step 5: Solve for x
    x = 7,436,820,169/40,349
  6. Step 6: Final answer
    x = 184,312.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.