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Finding the Third Proportional to 57,079 and 91,153.50

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Solution

The third proportional to 57,079 and 91,153.50 is: 145,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,079 : 91,153.50 = 91,153.50 : x
  2. Step 2: Convert to fraction form
    57,079/91,153.50 = 91,153.50/x
  3. Step 3: Cross multiply
    57,079x = 91,153.50 × 91,153.50
  4. Step 4: Simplify right side
    57,079x = 8,308,960,562.25
  5. Step 5: Solve for x
    x = 8,308,960,562.25/57,079
  6. Step 6: Final answer
    x = 145,569.48

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.