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Finding the Third Proportional to 56,415 and 122,226

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Solution

The third proportional to 56,415 and 122,226 is: 264,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,415 : 122,226 = 122,226 : x
  2. Step 2: Convert to fraction form
    56,415/122,226 = 122,226/x
  3. Step 3: Cross multiply
    56,415x = 122,226 × 122,226
  4. Step 4: Simplify right side
    56,415x = 14,939,195,076
  5. Step 5: Solve for x
    x = 14,939,195,076/56,415
  6. Step 6: Final answer
    x = 264,808.92

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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.