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Finding the Third Proportional to 57,289.50 and 86,566.50

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Solution

The third proportional to 57,289.50 and 86,566.50 is: 130,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,289.50 : 86,566.50 = 86,566.50 : x
  2. Step 2: Convert to fraction form
    57,289.50/86,566.50 = 86,566.50/x
  3. Step 3: Cross multiply
    57,289.50x = 86,566.50 × 86,566.50
  4. Step 4: Simplify right side
    57,289.50x = 7,493,758,922.25
  5. Step 5: Solve for x
    x = 7,493,758,922.25/57,289.50
  6. Step 6: Final answer
    x = 130,805.10

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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.