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Finding the Third Proportional to 56,535 and 121,818

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Solution

The third proportional to 56,535 and 121,818 is: 262,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,535 : 121,818 = 121,818 : x
  2. Step 2: Convert to fraction form
    56,535/121,818 = 121,818/x
  3. Step 3: Cross multiply
    56,535x = 121,818 × 121,818
  4. Step 4: Simplify right side
    56,535x = 14,839,625,124
  5. Step 5: Solve for x
    x = 14,839,625,124/56,535
  6. Step 6: Final answer
    x = 262,485.63

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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.