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Finding the Third Proportional to 62,197 and 134,222

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Solution

The third proportional to 62,197 and 134,222 is: 289,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,197 : 134,222 = 134,222 : x
  2. Step 2: Convert to fraction form
    62,197/134,222 = 134,222/x
  3. Step 3: Cross multiply
    62,197x = 134,222 × 134,222
  4. Step 4: Simplify right side
    62,197x = 18,015,545,284
  5. Step 5: Solve for x
    x = 18,015,545,284/62,197
  6. Step 6: Final answer
    x = 289,652.96

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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.