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Finding the Third Proportional to 84,441 and 131,773

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Solution

The third proportional to 84,441 and 131,773 is: 205,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,441 : 131,773 = 131,773 : x
  2. Step 2: Convert to fraction form
    84,441/131,773 = 131,773/x
  3. Step 3: Cross multiply
    84,441x = 131,773 × 131,773
  4. Step 4: Simplify right side
    84,441x = 17,364,123,529
  5. Step 5: Solve for x
    x = 17,364,123,529/84,441
  6. Step 6: Final answer
    x = 205,636.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.