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Finding the Third Proportional to 93,465.75 and 126,735

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Solution

The third proportional to 93,465.75 and 126,735 is: 171,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,465.75 : 126,735 = 126,735 : x
  2. Step 2: Convert to fraction form
    93,465.75/126,735 = 126,735/x
  3. Step 3: Cross multiply
    93,465.75x = 126,735 × 126,735
  4. Step 4: Simplify right side
    93,465.75x = 16,061,760,225
  5. Step 5: Solve for x
    x = 16,061,760,225/93,465.75
  6. Step 6: Final answer
    x = 171,846.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.