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Finding the Third Proportional to 94,454 and 145,002

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Solution

The third proportional to 94,454 and 145,002 is: 222,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,454 : 145,002 = 145,002 : x
  2. Step 2: Convert to fraction form
    94,454/145,002 = 145,002/x
  3. Step 3: Cross multiply
    94,454x = 145,002 × 145,002
  4. Step 4: Simplify right side
    94,454x = 21,025,580,004
  5. Step 5: Solve for x
    x = 21,025,580,004/94,454
  6. Step 6: Final answer
    x = 222,601.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.