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Finding the Third Proportional to 126,153 and 149,194

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Solution

The third proportional to 126,153 and 149,194 is: 176,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,153 : 149,194 = 149,194 : x
  2. Step 2: Convert to fraction form
    126,153/149,194 = 149,194/x
  3. Step 3: Cross multiply
    126,153x = 149,194 × 149,194
  4. Step 4: Simplify right side
    126,153x = 22,258,849,636
  5. Step 5: Solve for x
    x = 22,258,849,636/126,153
  6. Step 6: Final answer
    x = 176,443.28

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.