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Finding the Third Proportional to 93,507.75 and 140,225.34

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Solution

The third proportional to 93,507.75 and 140,225.34 is: 210,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,507.75 : 140,225.34 = 140,225.34 : x
  2. Step 2: Convert to fraction form
    93,507.75/140,225.34 = 140,225.34/x
  3. Step 3: Cross multiply
    93,507.75x = 140,225.34 × 140,225.34
  4. Step 4: Simplify right side
    93,507.75x = 19,663,147,029.81
  5. Step 5: Solve for x
    x = 19,663,147,029.81/93,507.75
  6. Step 6: Final answer
    x = 210,283.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.