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Finding the Third Proportional to 70,958 and 118,259

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Solution

The third proportional to 70,958 and 118,259 is: 197,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,958 : 118,259 = 118,259 : x
  2. Step 2: Convert to fraction form
    70,958/118,259 = 118,259/x
  3. Step 3: Cross multiply
    70,958x = 118,259 × 118,259
  4. Step 4: Simplify right side
    70,958x = 13,985,191,081
  5. Step 5: Solve for x
    x = 13,985,191,081/70,958
  6. Step 6: Final answer
    x = 197,091.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.