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Finding the Third Proportional to 72,346.50 and 110,601

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Solution

The third proportional to 72,346.50 and 110,601 is: 169,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,346.50 : 110,601 = 110,601 : x
  2. Step 2: Convert to fraction form
    72,346.50/110,601 = 110,601/x
  3. Step 3: Cross multiply
    72,346.50x = 110,601 × 110,601
  4. Step 4: Simplify right side
    72,346.50x = 12,232,581,201
  5. Step 5: Solve for x
    x = 12,232,581,201/72,346.50
  6. Step 6: Final answer
    x = 169,083.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.