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Finding the Third Proportional to 57,752 and 126,088

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Solution

The third proportional to 57,752 and 126,088 is: 275,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,752 : 126,088 = 126,088 : x
  2. Step 2: Convert to fraction form
    57,752/126,088 = 126,088/x
  3. Step 3: Cross multiply
    57,752x = 126,088 × 126,088
  4. Step 4: Simplify right side
    57,752x = 15,898,183,744
  5. Step 5: Solve for x
    x = 15,898,183,744/57,752
  6. Step 6: Final answer
    x = 275,283.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.