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Finding the Third Proportional to 93,763.50 and 140,655

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Solution

The third proportional to 93,763.50 and 140,655 is: 210,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,763.50 : 140,655 = 140,655 : x
  2. Step 2: Convert to fraction form
    93,763.50/140,655 = 140,655/x
  3. Step 3: Cross multiply
    93,763.50x = 140,655 × 140,655
  4. Step 4: Simplify right side
    93,763.50x = 19,783,829,025
  5. Step 5: Solve for x
    x = 19,783,829,025/93,763.50
  6. Step 6: Final answer
    x = 210,997.13

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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.