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Finding the Third Proportional to 46,724 and 99,992

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Solution

The third proportional to 46,724 and 99,992 is: 213,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,724 : 99,992 = 99,992 : x
  2. Step 2: Convert to fraction form
    46,724/99,992 = 99,992/x
  3. Step 3: Cross multiply
    46,724x = 99,992 × 99,992
  4. Step 4: Simplify right side
    46,724x = 9,998,400,064
  5. Step 5: Solve for x
    x = 9,998,400,064/46,724
  6. Step 6: Final answer
    x = 213,988.53

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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.