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Finding the Third Proportional to 72,437.63 and 160,427.25

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Solution

The third proportional to 72,437.63 and 160,427.25 is: 355,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,437.63 : 160,427.25 = 160,427.25 : x
  2. Step 2: Convert to fraction form
    72,437.63/160,427.25 = 160,427.25/x
  3. Step 3: Cross multiply
    72,437.63x = 160,427.25 × 160,427.25
  4. Step 4: Simplify right side
    72,437.63x = 25,736,902,542.56
  5. Step 5: Solve for x
    x = 25,736,902,542.56/72,437.63
  6. Step 6: Final answer
    x = 355,297.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.