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Finding the Third Proportional to 48,807 and 105,117

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Solution

The third proportional to 48,807 and 105,117 is: 226,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,807 : 105,117 = 105,117 : x
  2. Step 2: Convert to fraction form
    48,807/105,117 = 105,117/x
  3. Step 3: Cross multiply
    48,807x = 105,117 × 105,117
  4. Step 4: Simplify right side
    48,807x = 11,049,583,689
  5. Step 5: Solve for x
    x = 11,049,583,689/48,807
  6. Step 6: Final answer
    x = 226,393.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.