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Finding the Third Proportional to 55,611 and 83,911.50

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Solution

The third proportional to 55,611 and 83,911.50 is: 126,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,611 : 83,911.50 = 83,911.50 : x
  2. Step 2: Convert to fraction form
    55,611/83,911.50 = 83,911.50/x
  3. Step 3: Cross multiply
    55,611x = 83,911.50 × 83,911.50
  4. Step 4: Simplify right side
    55,611x = 7,041,139,832.25
  5. Step 5: Solve for x
    x = 7,041,139,832.25/55,611
  6. Step 6: Final answer
    x = 126,614.16

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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.