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Finding the Third Proportional to 72,236 and 174,028

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Solution

The third proportional to 72,236 and 174,028 is: 419,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,236 : 174,028 = 174,028 : x
  2. Step 2: Convert to fraction form
    72,236/174,028 = 174,028/x
  3. Step 3: Cross multiply
    72,236x = 174,028 × 174,028
  4. Step 4: Simplify right side
    72,236x = 30,285,744,784
  5. Step 5: Solve for x
    x = 30,285,744,784/72,236
  6. Step 6: Final answer
    x = 419,261.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.