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Finding the Third Proportional to 57,056 and 83,968.50

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Solution

The third proportional to 57,056 and 83,968.50 is: 123,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056 : 83,968.50 = 83,968.50 : x
  2. Step 2: Convert to fraction form
    57,056/83,968.50 = 83,968.50/x
  3. Step 3: Cross multiply
    57,056x = 83,968.50 × 83,968.50
  4. Step 4: Simplify right side
    57,056x = 7,050,708,992.25
  5. Step 5: Solve for x
    x = 7,050,708,992.25/57,056
  6. Step 6: Final answer
    x = 123,575.24

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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.