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Finding the Third Proportional to 46,590 and 100,566

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Solution

The third proportional to 46,590 and 100,566 is: 217,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,590 : 100,566 = 100,566 : x
  2. Step 2: Convert to fraction form
    46,590/100,566 = 100,566/x
  3. Step 3: Cross multiply
    46,590x = 100,566 × 100,566
  4. Step 4: Simplify right side
    46,590x = 10,113,520,356
  5. Step 5: Solve for x
    x = 10,113,520,356/46,590
  6. Step 6: Final answer
    x = 217,074.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.