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Finding the Third Proportional to 53,064 and 115,497

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Solution

The third proportional to 53,064 and 115,497 is: 251,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,064 : 115,497 = 115,497 : x
  2. Step 2: Convert to fraction form
    53,064/115,497 = 115,497/x
  3. Step 3: Cross multiply
    53,064x = 115,497 × 115,497
  4. Step 4: Simplify right side
    53,064x = 13,339,557,009
  5. Step 5: Solve for x
    x = 13,339,557,009/53,064
  6. Step 6: Final answer
    x = 251,386.19

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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.