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Finding the Third Proportional to 53,564 and 117,637

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Solution

The third proportional to 53,564 and 117,637 is: 258,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,564 : 117,637 = 117,637 : x
  2. Step 2: Convert to fraction form
    53,564/117,637 = 117,637/x
  3. Step 3: Cross multiply
    53,564x = 117,637 × 117,637
  4. Step 4: Simplify right side
    53,564x = 13,838,463,769
  5. Step 5: Solve for x
    x = 13,838,463,769/53,564
  6. Step 6: Final answer
    x = 258,353.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.