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Finding the Third Proportional to 105,622 and 157,899

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Solution

The third proportional to 105,622 and 157,899 is: 236,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,622 : 157,899 = 157,899 : x
  2. Step 2: Convert to fraction form
    105,622/157,899 = 157,899/x
  3. Step 3: Cross multiply
    105,622x = 157,899 × 157,899
  4. Step 4: Simplify right side
    105,622x = 24,932,094,201
  5. Step 5: Solve for x
    x = 24,932,094,201/105,622
  6. Step 6: Final answer
    x = 236,050.20

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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.