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Finding the Third Proportional to 57,172.50 and 83,683.13

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Solution

The third proportional to 57,172.50 and 83,683.13 is: 122,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,172.50 : 83,683.13 = 83,683.13 : x
  2. Step 2: Convert to fraction form
    57,172.50/83,683.13 = 83,683.13/x
  3. Step 3: Cross multiply
    57,172.50x = 83,683.13 × 83,683.13
  4. Step 4: Simplify right side
    57,172.50x = 7,002,865,409.77
  5. Step 5: Solve for x
    x = 7,002,865,409.77/57,172.50
  6. Step 6: Final answer
    x = 122,486.60

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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.