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Finding the Third Proportional to 46,696 and 70,092

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Solution

The third proportional to 46,696 and 70,092 is: 105,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,696 : 70,092 = 70,092 : x
  2. Step 2: Convert to fraction form
    46,696/70,092 = 70,092/x
  3. Step 3: Cross multiply
    46,696x = 70,092 × 70,092
  4. Step 4: Simplify right side
    46,696x = 4,912,888,464
  5. Step 5: Solve for x
    x = 4,912,888,464/46,696
  6. Step 6: Final answer
    x = 105,210.05

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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.