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Finding the Third Proportional to 68,133 and 99,997

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Solution

The third proportional to 68,133 and 99,997 is: 146,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,133 : 99,997 = 99,997 : x
  2. Step 2: Convert to fraction form
    68,133/99,997 = 99,997/x
  3. Step 3: Cross multiply
    68,133x = 99,997 × 99,997
  4. Step 4: Simplify right side
    68,133x = 9,999,400,009
  5. Step 5: Solve for x
    x = 9,999,400,009/68,133
  6. Step 6: Final answer
    x = 146,762.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.