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Finding the Third Proportional to 53,946 and 117,774

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Solution

The third proportional to 53,946 and 117,774 is: 257,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,946 : 117,774 = 117,774 : x
  2. Step 2: Convert to fraction form
    53,946/117,774 = 117,774/x
  3. Step 3: Cross multiply
    53,946x = 117,774 × 117,774
  4. Step 4: Simplify right side
    53,946x = 13,870,715,076
  5. Step 5: Solve for x
    x = 13,870,715,076/53,946
  6. Step 6: Final answer
    x = 257,122.22

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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.