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Finding the Third Proportional to 46,524 and 103,368

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Solution

The third proportional to 46,524 and 103,368 is: 229,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,524 : 103,368 = 103,368 : x
  2. Step 2: Convert to fraction form
    46,524/103,368 = 103,368/x
  3. Step 3: Cross multiply
    46,524x = 103,368 × 103,368
  4. Step 4: Simplify right side
    46,524x = 10,684,943,424
  5. Step 5: Solve for x
    x = 10,684,943,424/46,524
  6. Step 6: Final answer
    x = 229,665.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.