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Finding the Third Proportional to 72,760 and 109,410

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Solution

The third proportional to 72,760 and 109,410 is: 164,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,760 : 109,410 = 109,410 : x
  2. Step 2: Convert to fraction form
    72,760/109,410 = 109,410/x
  3. Step 3: Cross multiply
    72,760x = 109,410 × 109,410
  4. Step 4: Simplify right side
    72,760x = 11,970,548,100
  5. Step 5: Solve for x
    x = 11,970,548,100/72,760
  6. Step 6: Final answer
    x = 164,521.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.