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Finding the Third Proportional to 133,752 and 179,028

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Solution

The third proportional to 133,752 and 179,028 is: 239,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,752 : 179,028 = 179,028 : x
  2. Step 2: Convert to fraction form
    133,752/179,028 = 179,028/x
  3. Step 3: Cross multiply
    133,752x = 179,028 × 179,028
  4. Step 4: Simplify right side
    133,752x = 32,051,024,784
  5. Step 5: Solve for x
    x = 32,051,024,784/133,752
  6. Step 6: Final answer
    x = 239,630.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.