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Finding the Third Proportional to 75,878 and 162,988

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Solution

The third proportional to 75,878 and 162,988 is: 350,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878 : 162,988 = 162,988 : x
  2. Step 2: Convert to fraction form
    75,878/162,988 = 162,988/x
  3. Step 3: Cross multiply
    75,878x = 162,988 × 162,988
  4. Step 4: Simplify right side
    75,878x = 26,565,088,144
  5. Step 5: Solve for x
    x = 26,565,088,144/75,878
  6. Step 6: Final answer
    x = 350,102.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.