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Finding the Third Proportional to 62,271 and 135,095

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Solution

The third proportional to 62,271 and 135,095 is: 293,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,271 : 135,095 = 135,095 : x
  2. Step 2: Convert to fraction form
    62,271/135,095 = 135,095/x
  3. Step 3: Cross multiply
    62,271x = 135,095 × 135,095
  4. Step 4: Simplify right side
    62,271x = 18,250,659,025
  5. Step 5: Solve for x
    x = 18,250,659,025/62,271
  6. Step 6: Final answer
    x = 293,084.41

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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.