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Finding the Third Proportional to 57,730 and 126,152

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Solution

The third proportional to 57,730 and 126,152 is: 275,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730 : 126,152 = 126,152 : x
  2. Step 2: Convert to fraction form
    57,730/126,152 = 126,152/x
  3. Step 3: Cross multiply
    57,730x = 126,152 × 126,152
  4. Step 4: Simplify right side
    57,730x = 15,914,327,104
  5. Step 5: Solve for x
    x = 15,914,327,104/57,730
  6. Step 6: Final answer
    x = 275,668.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.