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Finding the Third Proportional to 59,994 and 129,069

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Solution

The third proportional to 59,994 and 129,069 is: 277,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,994 : 129,069 = 129,069 : x
  2. Step 2: Convert to fraction form
    59,994/129,069 = 129,069/x
  3. Step 3: Cross multiply
    59,994x = 129,069 × 129,069
  4. Step 4: Simplify right side
    59,994x = 16,658,806,761
  5. Step 5: Solve for x
    x = 16,658,806,761/59,994
  6. Step 6: Final answer
    x = 277,674.55

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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.