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Finding the Third Proportional to 57,056.50 and 83,969

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Solution

The third proportional to 57,056.50 and 83,969 is: 123,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056.50 : 83,969 = 83,969 : x
  2. Step 2: Convert to fraction form
    57,056.50/83,969 = 83,969/x
  3. Step 3: Cross multiply
    57,056.50x = 83,969 × 83,969
  4. Step 4: Simplify right side
    57,056.50x = 7,050,792,961
  5. Step 5: Solve for x
    x = 7,050,792,961/57,056.50
  6. Step 6: Final answer
    x = 123,575.63

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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.