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Finding the Third Proportional to 133,973 and 178,595

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Solution

The third proportional to 133,973 and 178,595 is: 238,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,973 : 178,595 = 178,595 : x
  2. Step 2: Convert to fraction form
    133,973/178,595 = 178,595/x
  3. Step 3: Cross multiply
    133,973x = 178,595 × 178,595
  4. Step 4: Simplify right side
    133,973x = 31,896,174,025
  5. Step 5: Solve for x
    x = 31,896,174,025/133,973
  6. Step 6: Final answer
    x = 238,079.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.