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Finding the Third Proportional to 101,712 and 212,724

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Solution

The third proportional to 101,712 and 212,724 is: 444,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712 : 212,724 = 212,724 : x
  2. Step 2: Convert to fraction form
    101,712/212,724 = 212,724/x
  3. Step 3: Cross multiply
    101,712x = 212,724 × 212,724
  4. Step 4: Simplify right side
    101,712x = 45,251,500,176
  5. Step 5: Solve for x
    x = 45,251,500,176/101,712
  6. Step 6: Final answer
    x = 444,898.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.