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Finding the Third Proportional to 49,431.50 and 106,639

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Solution

The third proportional to 49,431.50 and 106,639 is: 230,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,431.50 : 106,639 = 106,639 : x
  2. Step 2: Convert to fraction form
    49,431.50/106,639 = 106,639/x
  3. Step 3: Cross multiply
    49,431.50x = 106,639 × 106,639
  4. Step 4: Simplify right side
    49,431.50x = 11,371,876,321
  5. Step 5: Solve for x
    x = 11,371,876,321/49,431.50
  6. Step 6: Final answer
    x = 230,053.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.