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Finding the Third Proportional to 93,451.50 and 140,146.50

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Solution

The third proportional to 93,451.50 and 140,146.50 is: 210,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,451.50 : 140,146.50 = 140,146.50 : x
  2. Step 2: Convert to fraction form
    93,451.50/140,146.50 = 140,146.50/x
  3. Step 3: Cross multiply
    93,451.50x = 140,146.50 × 140,146.50
  4. Step 4: Simplify right side
    93,451.50x = 19,641,041,462.25
  5. Step 5: Solve for x
    x = 19,641,041,462.25/93,451.50
  6. Step 6: Final answer
    x = 210,173.64

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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.