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Finding the Third Proportional to 105,039.94 and 158,810.44

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Solution

The third proportional to 105,039.94 and 158,810.44 is: 240,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,039.94 : 158,810.44 = 158,810.44 : x
  2. Step 2: Convert to fraction form
    105,039.94/158,810.44 = 158,810.44/x
  3. Step 3: Cross multiply
    105,039.94x = 158,810.44 × 158,810.44
  4. Step 4: Simplify right side
    105,039.94x = 25,220,755,058.94
  5. Step 5: Solve for x
    x = 25,220,755,058.94/105,039.94
  6. Step 6: Final answer
    x = 240,106.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.