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Finding the Third Proportional to 73,968 and 158,520

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Solution

The third proportional to 73,968 and 158,520 is: 339,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,968 : 158,520 = 158,520 : x
  2. Step 2: Convert to fraction form
    73,968/158,520 = 158,520/x
  3. Step 3: Cross multiply
    73,968x = 158,520 × 158,520
  4. Step 4: Simplify right side
    73,968x = 25,128,590,400
  5. Step 5: Solve for x
    x = 25,128,590,400/73,968
  6. Step 6: Final answer
    x = 339,722.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.