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Finding the Third Proportional to 93,334.50 and 140,674.50

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Solution

The third proportional to 93,334.50 and 140,674.50 is: 212,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,334.50 : 140,674.50 = 140,674.50 : x
  2. Step 2: Convert to fraction form
    93,334.50/140,674.50 = 140,674.50/x
  3. Step 3: Cross multiply
    93,334.50x = 140,674.50 × 140,674.50
  4. Step 4: Simplify right side
    93,334.50x = 19,789,314,950.25
  5. Step 5: Solve for x
    x = 19,789,314,950.25/93,334.50
  6. Step 6: Final answer
    x = 212,025.72

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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.