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Finding the Third Proportional to 101,065 and 214,452

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Solution

The third proportional to 101,065 and 214,452 is: 455,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,065 : 214,452 = 214,452 : x
  2. Step 2: Convert to fraction form
    101,065/214,452 = 214,452/x
  3. Step 3: Cross multiply
    101,065x = 214,452 × 214,452
  4. Step 4: Simplify right side
    101,065x = 45,989,660,304
  5. Step 5: Solve for x
    x = 45,989,660,304/101,065
  6. Step 6: Final answer
    x = 455,050.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.