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Finding the Third Proportional to 87,534.50 and 124,991.50

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Solution

The third proportional to 87,534.50 and 124,991.50 is: 178,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,534.50 : 124,991.50 = 124,991.50 : x
  2. Step 2: Convert to fraction form
    87,534.50/124,991.50 = 124,991.50/x
  3. Step 3: Cross multiply
    87,534.50x = 124,991.50 × 124,991.50
  4. Step 4: Simplify right side
    87,534.50x = 15,622,875,072.25
  5. Step 5: Solve for x
    x = 15,622,875,072.25/87,534.50
  6. Step 6: Final answer
    x = 178,476.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.