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Finding the Third Proportional to 55,947 and 121,633

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Solution

The third proportional to 55,947 and 121,633 is: 264,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,947 : 121,633 = 121,633 : x
  2. Step 2: Convert to fraction form
    55,947/121,633 = 121,633/x
  3. Step 3: Cross multiply
    55,947x = 121,633 × 121,633
  4. Step 4: Simplify right side
    55,947x = 14,794,586,689
  5. Step 5: Solve for x
    x = 14,794,586,689/55,947
  6. Step 6: Final answer
    x = 264,439.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.