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Finding the Third Proportional to 73,012 and 158,417

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Solution

The third proportional to 73,012 and 158,417 is: 343,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,012 : 158,417 = 158,417 : x
  2. Step 2: Convert to fraction form
    73,012/158,417 = 158,417/x
  3. Step 3: Cross multiply
    73,012x = 158,417 × 158,417
  4. Step 4: Simplify right side
    73,012x = 25,095,945,889
  5. Step 5: Solve for x
    x = 25,095,945,889/73,012
  6. Step 6: Final answer
    x = 343,723.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.