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Finding the Third Proportional to 60,161 and 121,782.25

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Solution

The third proportional to 60,161 and 121,782.25 is: 246,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,161 : 121,782.25 = 121,782.25 : x
  2. Step 2: Convert to fraction form
    60,161/121,782.25 = 121,782.25/x
  3. Step 3: Cross multiply
    60,161x = 121,782.25 × 121,782.25
  4. Step 4: Simplify right side
    60,161x = 14,830,916,415.06
  5. Step 5: Solve for x
    x = 14,830,916,415.06/60,161
  6. Step 6: Final answer
    x = 246,520.44

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.