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Finding the Third Proportional to 46,737 and 101,331

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Solution

The third proportional to 46,737 and 101,331 is: 219,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737 : 101,331 = 101,331 : x
  2. Step 2: Convert to fraction form
    46,737/101,331 = 101,331/x
  3. Step 3: Cross multiply
    46,737x = 101,331 × 101,331
  4. Step 4: Simplify right side
    46,737x = 10,267,971,561
  5. Step 5: Solve for x
    x = 10,267,971,561/46,737
  6. Step 6: Final answer
    x = 219,696.85

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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.