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Finding the Third Proportional to 60,106 and 129,068

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Solution

The third proportional to 60,106 and 129,068 is: 277,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,106 : 129,068 = 129,068 : x
  2. Step 2: Convert to fraction form
    60,106/129,068 = 129,068/x
  3. Step 3: Cross multiply
    60,106x = 129,068 × 129,068
  4. Step 4: Simplify right side
    60,106x = 16,658,548,624
  5. Step 5: Solve for x
    x = 16,658,548,624/60,106
  6. Step 6: Final answer
    x = 277,152.84

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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.