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Finding the Third Proportional to 53,634 and 117,842

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Solution

The third proportional to 53,634 and 117,842 is: 258,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,634 : 117,842 = 117,842 : x
  2. Step 2: Convert to fraction form
    53,634/117,842 = 117,842/x
  3. Step 3: Cross multiply
    53,634x = 117,842 × 117,842
  4. Step 4: Simplify right side
    53,634x = 13,886,736,964
  5. Step 5: Solve for x
    x = 13,886,736,964/53,634
  6. Step 6: Final answer
    x = 258,916.68

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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.