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Finding the Third Proportional to 56,102 and 122,168

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Solution

The third proportional to 56,102 and 122,168 is: 266,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,102 : 122,168 = 122,168 : x
  2. Step 2: Convert to fraction form
    56,102/122,168 = 122,168/x
  3. Step 3: Cross multiply
    56,102x = 122,168 × 122,168
  4. Step 4: Simplify right side
    56,102x = 14,925,020,224
  5. Step 5: Solve for x
    x = 14,925,020,224/56,102
  6. Step 6: Final answer
    x = 266,033.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.