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Finding the Third Proportional to 48,816 and 106,584

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Solution

The third proportional to 48,816 and 106,584 is: 232,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,816 : 106,584 = 106,584 : x
  2. Step 2: Convert to fraction form
    48,816/106,584 = 106,584/x
  3. Step 3: Cross multiply
    48,816x = 106,584 × 106,584
  4. Step 4: Simplify right side
    48,816x = 11,360,149,056
  5. Step 5: Solve for x
    x = 11,360,149,056/48,816
  6. Step 6: Final answer
    x = 232,713.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.