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Finding the Third Proportional to 46,737 and 70,092

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Solution

The third proportional to 46,737 and 70,092 is: 105,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737 : 70,092 = 70,092 : x
  2. Step 2: Convert to fraction form
    46,737/70,092 = 70,092/x
  3. Step 3: Cross multiply
    46,737x = 70,092 × 70,092
  4. Step 4: Simplify right side
    46,737x = 4,912,888,464
  5. Step 5: Solve for x
    x = 4,912,888,464/46,737
  6. Step 6: Final answer
    x = 105,117.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.