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Finding the Third Proportional to 70,779 and 154,046

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Solution

The third proportional to 70,779 and 154,046 is: 335,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,779 : 154,046 = 154,046 : x
  2. Step 2: Convert to fraction form
    70,779/154,046 = 154,046/x
  3. Step 3: Cross multiply
    70,779x = 154,046 × 154,046
  4. Step 4: Simplify right side
    70,779x = 23,730,170,116
  5. Step 5: Solve for x
    x = 23,730,170,116/70,779
  6. Step 6: Final answer
    x = 335,271.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.