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Finding the Third Proportional to 49,005 and 91,854

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Solution

The third proportional to 49,005 and 91,854 is: 172,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,005 : 91,854 = 91,854 : x
  2. Step 2: Convert to fraction form
    49,005/91,854 = 91,854/x
  3. Step 3: Cross multiply
    49,005x = 91,854 × 91,854
  4. Step 4: Simplify right side
    49,005x = 8,437,157,316
  5. Step 5: Solve for x
    x = 8,437,157,316/49,005
  6. Step 6: Final answer
    x = 172,169.32

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.