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Finding the Third Proportional to 93,723 and 142,906.50

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Solution

The third proportional to 93,723 and 142,906.50 is: 217,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,723 : 142,906.50 = 142,906.50 : x
  2. Step 2: Convert to fraction form
    93,723/142,906.50 = 142,906.50/x
  3. Step 3: Cross multiply
    93,723x = 142,906.50 × 142,906.50
  4. Step 4: Simplify right side
    93,723x = 20,422,267,742.25
  5. Step 5: Solve for x
    x = 20,422,267,742.25/93,723
  6. Step 6: Final answer
    x = 217,900.28

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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.