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Finding the Third Proportional to 53,911 and 115,213

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Solution

The third proportional to 53,911 and 115,213 is: 246,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,911 : 115,213 = 115,213 : x
  2. Step 2: Convert to fraction form
    53,911/115,213 = 115,213/x
  3. Step 3: Cross multiply
    53,911x = 115,213 × 115,213
  4. Step 4: Simplify right side
    53,911x = 13,274,035,369
  5. Step 5: Solve for x
    x = 13,274,035,369/53,911
  6. Step 6: Final answer
    x = 246,221.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.