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Finding the Third Proportional to 46,198 and 69,557

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Solution

The third proportional to 46,198 and 69,557 is: 104,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,198 : 69,557 = 69,557 : x
  2. Step 2: Convert to fraction form
    46,198/69,557 = 69,557/x
  3. Step 3: Cross multiply
    46,198x = 69,557 × 69,557
  4. Step 4: Simplify right side
    46,198x = 4,838,176,249
  5. Step 5: Solve for x
    x = 4,838,176,249/46,198
  6. Step 6: Final answer
    x = 104,726.96

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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.