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Finding the Third Proportional to 93,458.65 and 140,158.79

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Solution

The third proportional to 93,458.65 and 140,158.79 is: 210,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,458.65 : 140,158.79 = 140,158.79 : x
  2. Step 2: Convert to fraction form
    93,458.65/140,158.79 = 140,158.79/x
  3. Step 3: Cross multiply
    93,458.65x = 140,158.79 × 140,158.79
  4. Step 4: Simplify right side
    93,458.65x = 19,644,487,246.46
  5. Step 5: Solve for x
    x = 19,644,487,246.46/93,458.65
  6. Step 6: Final answer
    x = 210,194.42

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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.