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Finding the Third Proportional to 55,070 and 120,694

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Solution

The third proportional to 55,070 and 120,694 is: 264,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,070 : 120,694 = 120,694 : x
  2. Step 2: Convert to fraction form
    55,070/120,694 = 120,694/x
  3. Step 3: Cross multiply
    55,070x = 120,694 × 120,694
  4. Step 4: Simplify right side
    55,070x = 14,567,041,636
  5. Step 5: Solve for x
    x = 14,567,041,636/55,070
  6. Step 6: Final answer
    x = 264,518.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.