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Finding the Third Proportional to 73,094 and 158,572

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Solution

The third proportional to 73,094 and 158,572 is: 344,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,094 : 158,572 = 158,572 : x
  2. Step 2: Convert to fraction form
    73,094/158,572 = 158,572/x
  3. Step 3: Cross multiply
    73,094x = 158,572 × 158,572
  4. Step 4: Simplify right side
    73,094x = 25,145,079,184
  5. Step 5: Solve for x
    x = 25,145,079,184/73,094
  6. Step 6: Final answer
    x = 344,010.17

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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.