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Finding the Third Proportional to 53,836 and 115,032

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Solution

The third proportional to 53,836 and 115,032 is: 245,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,836 : 115,032 = 115,032 : x
  2. Step 2: Convert to fraction form
    53,836/115,032 = 115,032/x
  3. Step 3: Cross multiply
    53,836x = 115,032 × 115,032
  4. Step 4: Simplify right side
    53,836x = 13,232,361,024
  5. Step 5: Solve for x
    x = 13,232,361,024/53,836
  6. Step 6: Final answer
    x = 245,790.20

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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.