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Finding the Third Proportional to 72,578 and 109,961.50

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Solution

The third proportional to 72,578 and 109,961.50 is: 166,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578 : 109,961.50 = 109,961.50 : x
  2. Step 2: Convert to fraction form
    72,578/109,961.50 = 109,961.50/x
  3. Step 3: Cross multiply
    72,578x = 109,961.50 × 109,961.50
  4. Step 4: Simplify right side
    72,578x = 12,091,531,482.25
  5. Step 5: Solve for x
    x = 12,091,531,482.25/72,578
  6. Step 6: Final answer
    x = 166,600.51

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.