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Finding the Third Proportional to 83,058.75 and 124,562.50

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Solution

The third proportional to 83,058.75 and 124,562.50 is: 186,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,058.75 : 124,562.50 = 124,562.50 : x
  2. Step 2: Convert to fraction form
    83,058.75/124,562.50 = 124,562.50/x
  3. Step 3: Cross multiply
    83,058.75x = 124,562.50 × 124,562.50
  4. Step 4: Simplify right side
    83,058.75x = 15,515,816,406.25
  5. Step 5: Solve for x
    x = 15,515,816,406.25/83,058.75
  6. Step 6: Final answer
    x = 186,805.32

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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.