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Finding the Third Proportional to 52,174 and 77,954

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Solution

The third proportional to 52,174 and 77,954 is: 116,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,174 : 77,954 = 77,954 : x
  2. Step 2: Convert to fraction form
    52,174/77,954 = 77,954/x
  3. Step 3: Cross multiply
    52,174x = 77,954 × 77,954
  4. Step 4: Simplify right side
    52,174x = 6,076,826,116
  5. Step 5: Solve for x
    x = 6,076,826,116/52,174
  6. Step 6: Final answer
    x = 116,472.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.