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Finding the Third Proportional to 55,062 and 121,502.25

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Solution

The third proportional to 55,062 and 121,502.25 is: 268,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,062 : 121,502.25 = 121,502.25 : x
  2. Step 2: Convert to fraction form
    55,062/121,502.25 = 121,502.25/x
  3. Step 3: Cross multiply
    55,062x = 121,502.25 × 121,502.25
  4. Step 4: Simplify right side
    55,062x = 14,762,796,755.06
  5. Step 5: Solve for x
    x = 14,762,796,755.06/55,062
  6. Step 6: Final answer
    x = 268,112.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.