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Finding the Third Proportional to 149,726 and 164,488

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Solution

The third proportional to 149,726 and 164,488 is: 180,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726 : 164,488 = 164,488 : x
  2. Step 2: Convert to fraction form
    149,726/164,488 = 164,488/x
  3. Step 3: Cross multiply
    149,726x = 164,488 × 164,488
  4. Step 4: Simplify right side
    149,726x = 27,056,302,144
  5. Step 5: Solve for x
    x = 27,056,302,144/149,726
  6. Step 6: Final answer
    x = 180,705.44

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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.