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Finding the Third Proportional to 133,024 and 157,628

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Solution

The third proportional to 133,024 and 157,628 is: 186,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024 : 157,628 = 157,628 : x
  2. Step 2: Convert to fraction form
    133,024/157,628 = 157,628/x
  3. Step 3: Cross multiply
    133,024x = 157,628 × 157,628
  4. Step 4: Simplify right side
    133,024x = 24,846,586,384
  5. Step 5: Solve for x
    x = 24,846,586,384/133,024
  6. Step 6: Final answer
    x = 186,782.73

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.