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Finding the Third Proportional to 101,070 and 214,462

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Solution

The third proportional to 101,070 and 214,462 is: 455,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,070 : 214,462 = 214,462 : x
  2. Step 2: Convert to fraction form
    101,070/214,462 = 214,462/x
  3. Step 3: Cross multiply
    101,070x = 214,462 × 214,462
  4. Step 4: Simplify right side
    101,070x = 45,993,949,444
  5. Step 5: Solve for x
    x = 45,993,949,444/101,070
  6. Step 6: Final answer
    x = 455,070.24

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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.