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Finding the Third Proportional to 48,037 and 98,450

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Solution

The third proportional to 48,037 and 98,450 is: 201,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,037 : 98,450 = 98,450 : x
  2. Step 2: Convert to fraction form
    48,037/98,450 = 98,450/x
  3. Step 3: Cross multiply
    48,037x = 98,450 × 98,450
  4. Step 4: Simplify right side
    48,037x = 9,692,402,500
  5. Step 5: Solve for x
    x = 9,692,402,500/48,037
  6. Step 6: Final answer
    x = 201,769.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.