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Finding the Third Proportional to 48,754 and 105,280

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Solution

The third proportional to 48,754 and 105,280 is: 227,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,754 : 105,280 = 105,280 : x
  2. Step 2: Convert to fraction form
    48,754/105,280 = 105,280/x
  3. Step 3: Cross multiply
    48,754x = 105,280 × 105,280
  4. Step 4: Simplify right side
    48,754x = 11,083,878,400
  5. Step 5: Solve for x
    x = 11,083,878,400/48,754
  6. Step 6: Final answer
    x = 227,342.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.