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Finding the Third Proportional to 38,173 and 83,878

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Solution

The third proportional to 38,173 and 83,878 is: 184,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173 : 83,878 = 83,878 : x
  2. Step 2: Convert to fraction form
    38,173/83,878 = 83,878/x
  3. Step 3: Cross multiply
    38,173x = 83,878 × 83,878
  4. Step 4: Simplify right side
    38,173x = 7,035,518,884
  5. Step 5: Solve for x
    x = 7,035,518,884/38,173
  6. Step 6: Final answer
    x = 184,306.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.