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Finding the Third Proportional to 72,922.50 and 109,385.50

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Solution

The third proportional to 72,922.50 and 109,385.50 is: 164,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922.50 : 109,385.50 = 109,385.50 : x
  2. Step 2: Convert to fraction form
    72,922.50/109,385.50 = 109,385.50/x
  3. Step 3: Cross multiply
    72,922.50x = 109,385.50 × 109,385.50
  4. Step 4: Simplify right side
    72,922.50x = 11,965,187,610.25
  5. Step 5: Solve for x
    x = 11,965,187,610.25/72,922.50
  6. Step 6: Final answer
    x = 164,080.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.