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Finding the Third Proportional to 93,762 and 140,654.25

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Solution

The third proportional to 93,762 and 140,654.25 is: 210,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,762 : 140,654.25 = 140,654.25 : x
  2. Step 2: Convert to fraction form
    93,762/140,654.25 = 140,654.25/x
  3. Step 3: Cross multiply
    93,762x = 140,654.25 × 140,654.25
  4. Step 4: Simplify right side
    93,762x = 19,783,618,043.06
  5. Step 5: Solve for x
    x = 19,783,618,043.06/93,762
  6. Step 6: Final answer
    x = 210,998.25

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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.