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Finding the Third Proportional to 48,753 and 105,090

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Solution

The third proportional to 48,753 and 105,090 is: 226,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,753 : 105,090 = 105,090 : x
  2. Step 2: Convert to fraction form
    48,753/105,090 = 105,090/x
  3. Step 3: Cross multiply
    48,753x = 105,090 × 105,090
  4. Step 4: Simplify right side
    48,753x = 11,043,908,100
  5. Step 5: Solve for x
    x = 11,043,908,100/48,753
  6. Step 6: Final answer
    x = 226,527.76

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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.