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Finding the Third Proportional to 93,794.50 and 140,434

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Solution

The third proportional to 93,794.50 and 140,434 is: 210,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,794.50 : 140,434 = 140,434 : x
  2. Step 2: Convert to fraction form
    93,794.50/140,434 = 140,434/x
  3. Step 3: Cross multiply
    93,794.50x = 140,434 × 140,434
  4. Step 4: Simplify right side
    93,794.50x = 19,721,708,356
  5. Step 5: Solve for x
    x = 19,721,708,356/93,794.50
  6. Step 6: Final answer
    x = 210,265.08

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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.