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Finding the Third Proportional to 88,644.75 and 133,058.25

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Solution

The third proportional to 88,644.75 and 133,058.25 is: 199,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,644.75 : 133,058.25 = 133,058.25 : x
  2. Step 2: Convert to fraction form
    88,644.75/133,058.25 = 133,058.25/x
  3. Step 3: Cross multiply
    88,644.75x = 133,058.25 × 133,058.25
  4. Step 4: Simplify right side
    88,644.75x = 17,704,497,893.06
  5. Step 5: Solve for x
    x = 17,704,497,893.06/88,644.75
  6. Step 6: Final answer
    x = 199,724.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.