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Finding the Third Proportional to 72,900 and 110,328.75

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Solution

The third proportional to 72,900 and 110,328.75 is: 166,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,900 : 110,328.75 = 110,328.75 : x
  2. Step 2: Convert to fraction form
    72,900/110,328.75 = 110,328.75/x
  3. Step 3: Cross multiply
    72,900x = 110,328.75 × 110,328.75
  4. Step 4: Simplify right side
    72,900x = 12,172,433,076.56
  5. Step 5: Solve for x
    x = 12,172,433,076.56/72,900
  6. Step 6: Final answer
    x = 166,974.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.