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Finding the Third Proportional to 69,273.98 and 148,907.95

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Solution

The third proportional to 69,273.98 and 148,907.95 is: 320,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,273.98 : 148,907.95 = 148,907.95 : x
  2. Step 2: Convert to fraction form
    69,273.98/148,907.95 = 148,907.95/x
  3. Step 3: Cross multiply
    69,273.98x = 148,907.95 × 148,907.95
  4. Step 4: Simplify right side
    69,273.98x = 22,173,578,503.88
  5. Step 5: Solve for x
    x = 22,173,578,503.88/69,273.98
  6. Step 6: Final answer
    x = 320,085.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.