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Finding the Third Proportional to 78,804.14 and 171,003.66

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Solution

The third proportional to 78,804.14 and 171,003.66 is: 371,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,804.14 : 171,003.66 = 171,003.66 : x
  2. Step 2: Convert to fraction form
    78,804.14/171,003.66 = 171,003.66/x
  3. Step 3: Cross multiply
    78,804.14x = 171,003.66 × 171,003.66
  4. Step 4: Simplify right side
    78,804.14x = 29,242,250,450.87
  5. Step 5: Solve for x
    x = 29,242,250,450.87/78,804.14
  6. Step 6: Final answer
    x = 371,075.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.