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Finding the Third Proportional to 46,937 and 97,757

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Solution

The third proportional to 46,937 and 97,757 is: 203,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,937 : 97,757 = 97,757 : x
  2. Step 2: Convert to fraction form
    46,937/97,757 = 97,757/x
  3. Step 3: Cross multiply
    46,937x = 97,757 × 97,757
  4. Step 4: Simplify right side
    46,937x = 9,556,431,049
  5. Step 5: Solve for x
    x = 9,556,431,049/46,937
  6. Step 6: Final answer
    x = 203,601.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.