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Finding the Third Proportional to 101,072 and 158,534

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Solution

The third proportional to 101,072 and 158,534 is: 248,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,072 : 158,534 = 158,534 : x
  2. Step 2: Convert to fraction form
    101,072/158,534 = 158,534/x
  3. Step 3: Cross multiply
    101,072x = 158,534 × 158,534
  4. Step 4: Simplify right side
    101,072x = 25,133,029,156
  5. Step 5: Solve for x
    x = 25,133,029,156/101,072
  6. Step 6: Final answer
    x = 248,664.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.