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Finding the Third Proportional to 137,072.25 and 215,075.25

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Solution

The third proportional to 137,072.25 and 215,075.25 is: 337,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,072.25 : 215,075.25 = 215,075.25 : x
  2. Step 2: Convert to fraction form
    137,072.25/215,075.25 = 215,075.25/x
  3. Step 3: Cross multiply
    137,072.25x = 215,075.25 × 215,075.25
  4. Step 4: Simplify right side
    137,072.25x = 46,257,363,162.56
  5. Step 5: Solve for x
    x = 46,257,363,162.56/137,072.25
  6. Step 6: Final answer
    x = 337,467.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.