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Finding the Third Proportional to 46,712 and 99,968

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Solution

The third proportional to 46,712 and 99,968 is: 213,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712 : 99,968 = 99,968 : x
  2. Step 2: Convert to fraction form
    46,712/99,968 = 99,968/x
  3. Step 3: Cross multiply
    46,712x = 99,968 × 99,968
  4. Step 4: Simplify right side
    46,712x = 9,993,601,024
  5. Step 5: Solve for x
    x = 9,993,601,024/46,712
  6. Step 6: Final answer
    x = 213,940.77

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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.