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Finding the Third Proportional to 46,957 and 101,875

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Solution

The third proportional to 46,957 and 101,875 is: 221,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957 : 101,875 = 101,875 : x
  2. Step 2: Convert to fraction form
    46,957/101,875 = 101,875/x
  3. Step 3: Cross multiply
    46,957x = 101,875 × 101,875
  4. Step 4: Simplify right side
    46,957x = 10,378,515,625
  5. Step 5: Solve for x
    x = 10,378,515,625/46,957
  6. Step 6: Final answer
    x = 221,021.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.