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Finding the Third Proportional to 57,069 and 83,875.50

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Solution

The third proportional to 57,069 and 83,875.50 is: 123,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,069 : 83,875.50 = 83,875.50 : x
  2. Step 2: Convert to fraction form
    57,069/83,875.50 = 83,875.50/x
  3. Step 3: Cross multiply
    57,069x = 83,875.50 × 83,875.50
  4. Step 4: Simplify right side
    57,069x = 7,035,099,500.25
  5. Step 5: Solve for x
    x = 7,035,099,500.25/57,069
  6. Step 6: Final answer
    x = 123,273.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.