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Finding the Third Proportional to 83,800.50 and 117,220.50

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Solution

The third proportional to 83,800.50 and 117,220.50 is: 163,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,800.50 : 117,220.50 = 117,220.50 : x
  2. Step 2: Convert to fraction form
    83,800.50/117,220.50 = 117,220.50/x
  3. Step 3: Cross multiply
    83,800.50x = 117,220.50 × 117,220.50
  4. Step 4: Simplify right side
    83,800.50x = 13,740,645,620.25
  5. Step 5: Solve for x
    x = 13,740,645,620.25/83,800.50
  6. Step 6: Final answer
    x = 163,968.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.