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Finding the Third Proportional to 81,283.50 and 107,854.03

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Solution

The third proportional to 81,283.50 and 107,854.03 is: 143,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,283.50 : 107,854.03 = 107,854.03 : x
  2. Step 2: Convert to fraction form
    81,283.50/107,854.03 = 107,854.03/x
  3. Step 3: Cross multiply
    81,283.50x = 107,854.03 × 107,854.03
  4. Step 4: Simplify right side
    81,283.50x = 11,632,492,056.88
  5. Step 5: Solve for x
    x = 11,632,492,056.88/81,283.50
  6. Step 6: Final answer
    x = 143,110.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.