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Finding the Third Proportional to 46,355 and 101,734

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Solution

The third proportional to 46,355 and 101,734 is: 223,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,355 : 101,734 = 101,734 : x
  2. Step 2: Convert to fraction form
    46,355/101,734 = 101,734/x
  3. Step 3: Cross multiply
    46,355x = 101,734 × 101,734
  4. Step 4: Simplify right side
    46,355x = 10,349,806,756
  5. Step 5: Solve for x
    x = 10,349,806,756/46,355
  6. Step 6: Final answer
    x = 223,272.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.