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Finding the Third Proportional to 118,958 and 170,986

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Solution

The third proportional to 118,958 and 170,986 is: 245,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,958 : 170,986 = 170,986 : x
  2. Step 2: Convert to fraction form
    118,958/170,986 = 170,986/x
  3. Step 3: Cross multiply
    118,958x = 170,986 × 170,986
  4. Step 4: Simplify right side
    118,958x = 29,236,212,196
  5. Step 5: Solve for x
    x = 29,236,212,196/118,958
  6. Step 6: Final answer
    x = 245,769.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.