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Finding the Third Proportional to 57,083 and 91,160

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Solution

The third proportional to 57,083 and 91,160 is: 145,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,083 : 91,160 = 91,160 : x
  2. Step 2: Convert to fraction form
    57,083/91,160 = 91,160/x
  3. Step 3: Cross multiply
    57,083x = 91,160 × 91,160
  4. Step 4: Simplify right side
    57,083x = 8,310,145,600
  5. Step 5: Solve for x
    x = 8,310,145,600/57,083
  6. Step 6: Final answer
    x = 145,580.04

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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.