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Finding the Third Proportional to 57,537 and 126,450

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Solution

The third proportional to 57,537 and 126,450 is: 277,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,537 : 126,450 = 126,450 : x
  2. Step 2: Convert to fraction form
    57,537/126,450 = 126,450/x
  3. Step 3: Cross multiply
    57,537x = 126,450 × 126,450
  4. Step 4: Simplify right side
    57,537x = 15,989,602,500
  5. Step 5: Solve for x
    x = 15,989,602,500/57,537
  6. Step 6: Final answer
    x = 277,901.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.