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Finding the Third Proportional to 83,263.50 and 122,690.25

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Solution

The third proportional to 83,263.50 and 122,690.25 is: 180,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,263.50 : 122,690.25 = 122,690.25 : x
  2. Step 2: Convert to fraction form
    83,263.50/122,690.25 = 122,690.25/x
  3. Step 3: Cross multiply
    83,263.50x = 122,690.25 × 122,690.25
  4. Step 4: Simplify right side
    83,263.50x = 15,052,897,445.06
  5. Step 5: Solve for x
    x = 15,052,897,445.06/83,263.50
  6. Step 6: Final answer
    x = 180,786.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.