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Finding the Third Proportional to 105,984 and 159,203.25

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Solution

The third proportional to 105,984 and 159,203.25 is: 239,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,984 : 159,203.25 = 159,203.25 : x
  2. Step 2: Convert to fraction form
    105,984/159,203.25 = 159,203.25/x
  3. Step 3: Cross multiply
    105,984x = 159,203.25 × 159,203.25
  4. Step 4: Simplify right side
    105,984x = 25,345,674,810.56
  5. Step 5: Solve for x
    x = 25,345,674,810.56/105,984
  6. Step 6: Final answer
    x = 239,146.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.