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Finding the Third Proportional to 83,135.75 and 121,755.75

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Solution

The third proportional to 83,135.75 and 121,755.75 is: 178,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135.75 : 121,755.75 = 121,755.75 : x
  2. Step 2: Convert to fraction form
    83,135.75/121,755.75 = 121,755.75/x
  3. Step 3: Cross multiply
    83,135.75x = 121,755.75 × 121,755.75
  4. Step 4: Simplify right side
    83,135.75x = 14,824,462,658.06
  5. Step 5: Solve for x
    x = 14,824,462,658.06/83,135.75
  6. Step 6: Final answer
    x = 178,316.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.