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Finding the Third Proportional to 46,105 and 69,581

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Solution

The third proportional to 46,105 and 69,581 is: 105,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,105 : 69,581 = 69,581 : x
  2. Step 2: Convert to fraction form
    46,105/69,581 = 69,581/x
  3. Step 3: Cross multiply
    46,105x = 69,581 × 69,581
  4. Step 4: Simplify right side
    46,105x = 4,841,515,561
  5. Step 5: Solve for x
    x = 4,841,515,561/46,105
  6. Step 6: Final answer
    x = 105,010.64

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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.