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Finding the Third Proportional to 107,214 and 241,749

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Solution

The third proportional to 107,214 and 241,749 is: 545,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,214 : 241,749 = 241,749 : x
  2. Step 2: Convert to fraction form
    107,214/241,749 = 241,749/x
  3. Step 3: Cross multiply
    107,214x = 241,749 × 241,749
  4. Step 4: Simplify right side
    107,214x = 58,442,579,001
  5. Step 5: Solve for x
    x = 58,442,579,001/107,214
  6. Step 6: Final answer
    x = 545,102.12

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.