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Finding the Third Proportional to 46,001 and 93,937

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Solution

The third proportional to 46,001 and 93,937 is: 191,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,001 : 93,937 = 93,937 : x
  2. Step 2: Convert to fraction form
    46,001/93,937 = 93,937/x
  3. Step 3: Cross multiply
    46,001x = 93,937 × 93,937
  4. Step 4: Simplify right side
    46,001x = 8,824,159,969
  5. Step 5: Solve for x
    x = 8,824,159,969/46,001
  6. Step 6: Final answer
    x = 191,825.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.