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Finding the Third Proportional to 50,154 and 77,907

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Solution

The third proportional to 50,154 and 77,907 is: 121,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,154 : 77,907 = 77,907 : x
  2. Step 2: Convert to fraction form
    50,154/77,907 = 77,907/x
  3. Step 3: Cross multiply
    50,154x = 77,907 × 77,907
  4. Step 4: Simplify right side
    50,154x = 6,069,500,649
  5. Step 5: Solve for x
    x = 6,069,500,649/50,154
  6. Step 6: Final answer
    x = 121,017.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.