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Finding the Third Proportional to 62,966 and 136,081

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Solution

The third proportional to 62,966 and 136,081 is: 294,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,966 : 136,081 = 136,081 : x
  2. Step 2: Convert to fraction form
    62,966/136,081 = 136,081/x
  3. Step 3: Cross multiply
    62,966x = 136,081 × 136,081
  4. Step 4: Simplify right side
    62,966x = 18,518,038,561
  5. Step 5: Solve for x
    x = 18,518,038,561/62,966
  6. Step 6: Final answer
    x = 294,095.84

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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.