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Finding the Third Proportional to 46,286 and 95,854

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Solution

The third proportional to 46,286 and 95,854 is: 198,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,286 : 95,854 = 95,854 : x
  2. Step 2: Convert to fraction form
    46,286/95,854 = 95,854/x
  3. Step 3: Cross multiply
    46,286x = 95,854 × 95,854
  4. Step 4: Simplify right side
    46,286x = 9,187,989,316
  5. Step 5: Solve for x
    x = 9,187,989,316/46,286
  6. Step 6: Final answer
    x = 198,504.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.