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Finding the Third Proportional to 106,568 and 158,988

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Solution

The third proportional to 106,568 and 158,988 is: 237,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568 : 158,988 = 158,988 : x
  2. Step 2: Convert to fraction form
    106,568/158,988 = 158,988/x
  3. Step 3: Cross multiply
    106,568x = 158,988 × 158,988
  4. Step 4: Simplify right side
    106,568x = 25,277,184,144
  5. Step 5: Solve for x
    x = 25,277,184,144/106,568
  6. Step 6: Final answer
    x = 237,193.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.