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Finding the Third Proportional to 74,362 and 106,005

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Solution

The third proportional to 74,362 and 106,005 is: 151,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,362 : 106,005 = 106,005 : x
  2. Step 2: Convert to fraction form
    74,362/106,005 = 106,005/x
  3. Step 3: Cross multiply
    74,362x = 106,005 × 106,005
  4. Step 4: Simplify right side
    74,362x = 11,237,060,025
  5. Step 5: Solve for x
    x = 11,237,060,025/74,362
  6. Step 6: Final answer
    x = 151,112.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.