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Finding the Third Proportional to 126,713.63 and 177,153

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Solution

The third proportional to 126,713.63 and 177,153 is: 247,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,713.63 : 177,153 = 177,153 : x
  2. Step 2: Convert to fraction form
    126,713.63/177,153 = 177,153/x
  3. Step 3: Cross multiply
    126,713.63x = 177,153 × 177,153
  4. Step 4: Simplify right side
    126,713.63x = 31,383,185,409
  5. Step 5: Solve for x
    x = 31,383,185,409/126,713.63
  6. Step 6: Final answer
    x = 247,670.17

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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.