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Finding the Third Proportional to 72,972 and 157,336

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Solution

The third proportional to 72,972 and 157,336 is: 339,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,972 : 157,336 = 157,336 : x
  2. Step 2: Convert to fraction form
    72,972/157,336 = 157,336/x
  3. Step 3: Cross multiply
    72,972x = 157,336 × 157,336
  4. Step 4: Simplify right side
    72,972x = 24,754,616,896
  5. Step 5: Solve for x
    x = 24,754,616,896/72,972
  6. Step 6: Final answer
    x = 339,234.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.