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Finding the Third Proportional to 55,443 and 83,743.50

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Solution

The third proportional to 55,443 and 83,743.50 is: 126,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,443 : 83,743.50 = 83,743.50 : x
  2. Step 2: Convert to fraction form
    55,443/83,743.50 = 83,743.50/x
  3. Step 3: Cross multiply
    55,443x = 83,743.50 × 83,743.50
  4. Step 4: Simplify right side
    55,443x = 7,012,973,792.25
  5. Step 5: Solve for x
    x = 7,012,973,792.25/55,443
  6. Step 6: Final answer
    x = 126,489.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.