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Finding the Third Proportional to 53,232 and 115,913

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Solution

The third proportional to 53,232 and 115,913 is: 252,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,232 : 115,913 = 115,913 : x
  2. Step 2: Convert to fraction form
    53,232/115,913 = 115,913/x
  3. Step 3: Cross multiply
    53,232x = 115,913 × 115,913
  4. Step 4: Simplify right side
    53,232x = 13,435,823,569
  5. Step 5: Solve for x
    x = 13,435,823,569/53,232
  6. Step 6: Final answer
    x = 252,401.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.