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Finding the Third Proportional to 46,196 and 69,712

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Solution

The third proportional to 46,196 and 69,712 is: 105,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,196 : 69,712 = 69,712 : x
  2. Step 2: Convert to fraction form
    46,196/69,712 = 69,712/x
  3. Step 3: Cross multiply
    46,196x = 69,712 × 69,712
  4. Step 4: Simplify right side
    46,196x = 4,859,762,944
  5. Step 5: Solve for x
    x = 4,859,762,944/46,196
  6. Step 6: Final answer
    x = 105,198.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.