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Finding the Third Proportional to 75,836 and 163,120

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Solution

The third proportional to 75,836 and 163,120 is: 350,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,836 : 163,120 = 163,120 : x
  2. Step 2: Convert to fraction form
    75,836/163,120 = 163,120/x
  3. Step 3: Cross multiply
    75,836x = 163,120 × 163,120
  4. Step 4: Simplify right side
    75,836x = 26,608,134,400
  5. Step 5: Solve for x
    x = 26,608,134,400/75,836
  6. Step 6: Final answer
    x = 350,864.16

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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.