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Finding the Third Proportional to 60,014 and 94,907

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Solution

The third proportional to 60,014 and 94,907 is: 150,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,014 : 94,907 = 94,907 : x
  2. Step 2: Convert to fraction form
    60,014/94,907 = 94,907/x
  3. Step 3: Cross multiply
    60,014x = 94,907 × 94,907
  4. Step 4: Simplify right side
    60,014x = 9,007,338,649
  5. Step 5: Solve for x
    x = 9,007,338,649/60,014
  6. Step 6: Final answer
    x = 150,087.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.