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Finding the Third Proportional to 114,878 and 167,858

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Solution

The third proportional to 114,878 and 167,858 is: 245,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,878 : 167,858 = 167,858 : x
  2. Step 2: Convert to fraction form
    114,878/167,858 = 167,858/x
  3. Step 3: Cross multiply
    114,878x = 167,858 × 167,858
  4. Step 4: Simplify right side
    114,878x = 28,176,308,164
  5. Step 5: Solve for x
    x = 28,176,308,164/114,878
  6. Step 6: Final answer
    x = 245,271.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.