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Finding the Third Proportional to 46,037 and 96,718

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Solution

The third proportional to 46,037 and 96,718 is: 203,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,037 : 96,718 = 96,718 : x
  2. Step 2: Convert to fraction form
    46,037/96,718 = 96,718/x
  3. Step 3: Cross multiply
    46,037x = 96,718 × 96,718
  4. Step 4: Simplify right side
    46,037x = 9,354,371,524
  5. Step 5: Solve for x
    x = 9,354,371,524/46,037
  6. Step 6: Final answer
    x = 203,192.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.