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Finding the Third Proportional to 56,150 and 121,205

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Solution

The third proportional to 56,150 and 121,205 is: 261,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,150 : 121,205 = 121,205 : x
  2. Step 2: Convert to fraction form
    56,150/121,205 = 121,205/x
  3. Step 3: Cross multiply
    56,150x = 121,205 × 121,205
  4. Step 4: Simplify right side
    56,150x = 14,690,652,025
  5. Step 5: Solve for x
    x = 14,690,652,025/56,150
  6. Step 6: Final answer
    x = 261,632.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.