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Finding the Third Proportional to 75,848 and 163,138

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Solution

The third proportional to 75,848 and 163,138 is: 350,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,848 : 163,138 = 163,138 : x
  2. Step 2: Convert to fraction form
    75,848/163,138 = 163,138/x
  3. Step 3: Cross multiply
    75,848x = 163,138 × 163,138
  4. Step 4: Simplify right side
    75,848x = 26,614,007,044
  5. Step 5: Solve for x
    x = 26,614,007,044/75,848
  6. Step 6: Final answer
    x = 350,886.08

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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.