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Finding the Third Proportional to 58,512.75 and 126,038.25

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Solution

The third proportional to 58,512.75 and 126,038.25 is: 271,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,512.75 : 126,038.25 = 126,038.25 : x
  2. Step 2: Convert to fraction form
    58,512.75/126,038.25 = 126,038.25/x
  3. Step 3: Cross multiply
    58,512.75x = 126,038.25 × 126,038.25
  4. Step 4: Simplify right side
    58,512.75x = 15,885,640,463.06
  5. Step 5: Solve for x
    x = 15,885,640,463.06/58,512.75
  6. Step 6: Final answer
    x = 271,490.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.