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Finding the Third Proportional to 73,753.50 and 112,777.50

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Solution

The third proportional to 73,753.50 and 112,777.50 is: 172,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,753.50 : 112,777.50 = 112,777.50 : x
  2. Step 2: Convert to fraction form
    73,753.50/112,777.50 = 112,777.50/x
  3. Step 3: Cross multiply
    73,753.50x = 112,777.50 × 112,777.50
  4. Step 4: Simplify right side
    73,753.50x = 12,718,764,506.25
  5. Step 5: Solve for x
    x = 12,718,764,506.25/73,753.50
  6. Step 6: Final answer
    x = 172,449.64

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