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Finding the Third Proportional to 46,746 and 100,620

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Solution

The third proportional to 46,746 and 100,620 is: 216,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746 : 100,620 = 100,620 : x
  2. Step 2: Convert to fraction form
    46,746/100,620 = 100,620/x
  3. Step 3: Cross multiply
    46,746x = 100,620 × 100,620
  4. Step 4: Simplify right side
    46,746x = 10,124,384,400
  5. Step 5: Solve for x
    x = 10,124,384,400/46,746
  6. Step 6: Final answer
    x = 216,582.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.