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Finding the Third Proportional to 46,111 and 69,491

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Solution

The third proportional to 46,111 and 69,491 is: 104,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,111 : 69,491 = 69,491 : x
  2. Step 2: Convert to fraction form
    46,111/69,491 = 69,491/x
  3. Step 3: Cross multiply
    46,111x = 69,491 × 69,491
  4. Step 4: Simplify right side
    46,111x = 4,828,999,081
  5. Step 5: Solve for x
    x = 4,828,999,081/46,111
  6. Step 6: Final answer
    x = 104,725.53

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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.