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Finding the Third Proportional to 126,718 and 177,160

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Solution

The third proportional to 126,718 and 177,160 is: 247,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,718 : 177,160 = 177,160 : x
  2. Step 2: Convert to fraction form
    126,718/177,160 = 177,160/x
  3. Step 3: Cross multiply
    126,718x = 177,160 × 177,160
  4. Step 4: Simplify right side
    126,718x = 31,385,665,600
  5. Step 5: Solve for x
    x = 31,385,665,600/126,718
  6. Step 6: Final answer
    x = 247,681.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.