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Finding the Third Proportional to 83,000.50 and 124,561.50

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Solution

The third proportional to 83,000.50 and 124,561.50 is: 186,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000.50 : 124,561.50 = 124,561.50 : x
  2. Step 2: Convert to fraction form
    83,000.50/124,561.50 = 124,561.50/x
  3. Step 3: Cross multiply
    83,000.50x = 124,561.50 × 124,561.50
  4. Step 4: Simplify right side
    83,000.50x = 15,515,567,282.25
  5. Step 5: Solve for x
    x = 15,515,567,282.25/83,000.50
  6. Step 6: Final answer
    x = 186,933.42

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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.