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Finding the Third Proportional to 126,730 and 177,174

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Solution

The third proportional to 126,730 and 177,174 is: 247,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,730 : 177,174 = 177,174 : x
  2. Step 2: Convert to fraction form
    126,730/177,174 = 177,174/x
  3. Step 3: Cross multiply
    126,730x = 177,174 × 177,174
  4. Step 4: Simplify right side
    126,730x = 31,390,626,276
  5. Step 5: Solve for x
    x = 31,390,626,276/126,730
  6. Step 6: Final answer
    x = 247,696.89

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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.