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Finding the Third Proportional to 74,113 and 164,807

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Solution

The third proportional to 74,113 and 164,807 is: 366,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,113 : 164,807 = 164,807 : x
  2. Step 2: Convert to fraction form
    74,113/164,807 = 164,807/x
  3. Step 3: Cross multiply
    74,113x = 164,807 × 164,807
  4. Step 4: Simplify right side
    74,113x = 27,161,347,249
  5. Step 5: Solve for x
    x = 27,161,347,249/74,113
  6. Step 6: Final answer
    x = 366,485.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.