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Finding the Third Proportional to 71,878 and 154,986

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Solution

The third proportional to 71,878 and 154,986 is: 334,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,878 : 154,986 = 154,986 : x
  2. Step 2: Convert to fraction form
    71,878/154,986 = 154,986/x
  3. Step 3: Cross multiply
    71,878x = 154,986 × 154,986
  4. Step 4: Simplify right side
    71,878x = 24,020,660,196
  5. Step 5: Solve for x
    x = 24,020,660,196/71,878
  6. Step 6: Final answer
    x = 334,186.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.