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Finding the Third Proportional to 108,543 and 155,524.50

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Solution

The third proportional to 108,543 and 155,524.50 is: 222,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,543 : 155,524.50 = 155,524.50 : x
  2. Step 2: Convert to fraction form
    108,543/155,524.50 = 155,524.50/x
  3. Step 3: Cross multiply
    108,543x = 155,524.50 × 155,524.50
  4. Step 4: Simplify right side
    108,543x = 24,187,870,100.25
  5. Step 5: Solve for x
    x = 24,187,870,100.25/108,543
  6. Step 6: Final answer
    x = 222,841.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.