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Finding the Third Proportional to 46,605 and 99,771

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Solution

The third proportional to 46,605 and 99,771 is: 213,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,605 : 99,771 = 99,771 : x
  2. Step 2: Convert to fraction form
    46,605/99,771 = 99,771/x
  3. Step 3: Cross multiply
    46,605x = 99,771 × 99,771
  4. Step 4: Simplify right side
    46,605x = 9,954,252,441
  5. Step 5: Solve for x
    x = 9,954,252,441/46,605
  6. Step 6: Final answer
    x = 213,587.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.