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Finding the Third Proportional to 55,702 and 91,440

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Solution

The third proportional to 55,702 and 91,440 is: 150,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702 : 91,440 = 91,440 : x
  2. Step 2: Convert to fraction form
    55,702/91,440 = 91,440/x
  3. Step 3: Cross multiply
    55,702x = 91,440 × 91,440
  4. Step 4: Simplify right side
    55,702x = 8,361,273,600
  5. Step 5: Solve for x
    x = 8,361,273,600/55,702
  6. Step 6: Final answer
    x = 150,107.24

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.