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Finding the Third Proportional to 52,830 and 81,910.50

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Solution

The third proportional to 52,830 and 81,910.50 is: 126,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,830 : 81,910.50 = 81,910.50 : x
  2. Step 2: Convert to fraction form
    52,830/81,910.50 = 81,910.50/x
  3. Step 3: Cross multiply
    52,830x = 81,910.50 × 81,910.50
  4. Step 4: Simplify right side
    52,830x = 6,709,330,010.25
  5. Step 5: Solve for x
    x = 6,709,330,010.25/52,830
  6. Step 6: Final answer
    x = 126,998.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.