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Finding the Third Proportional to 48,510 and 72,945

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Solution

The third proportional to 48,510 and 72,945 is: 109,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,510 : 72,945 = 72,945 : x
  2. Step 2: Convert to fraction form
    48,510/72,945 = 72,945/x
  3. Step 3: Cross multiply
    48,510x = 72,945 × 72,945
  4. Step 4: Simplify right side
    48,510x = 5,320,973,025
  5. Step 5: Solve for x
    x = 5,320,973,025/48,510
  6. Step 6: Final answer
    x = 109,688.17

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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.