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Finding the Third Proportional to 149,860 and 164,804

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Solution

The third proportional to 149,860 and 164,804 is: 181,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,860 : 164,804 = 164,804 : x
  2. Step 2: Convert to fraction form
    149,860/164,804 = 164,804/x
  3. Step 3: Cross multiply
    149,860x = 164,804 × 164,804
  4. Step 4: Simplify right side
    149,860x = 27,160,358,416
  5. Step 5: Solve for x
    x = 27,160,358,416/149,860
  6. Step 6: Final answer
    x = 181,238.21

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.