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Finding the Third Proportional to 65,210 and 135,522

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Solution

The third proportional to 65,210 and 135,522 is: 281,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210 : 135,522 = 135,522 : x
  2. Step 2: Convert to fraction form
    65,210/135,522 = 135,522/x
  3. Step 3: Cross multiply
    65,210x = 135,522 × 135,522
  4. Step 4: Simplify right side
    65,210x = 18,366,212,484
  5. Step 5: Solve for x
    x = 18,366,212,484/65,210
  6. Step 6: Final answer
    x = 281,647.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.