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Finding the Third Proportional to 75,842 and 163,312

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Solution

The third proportional to 75,842 and 163,312 is: 351,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842 : 163,312 = 163,312 : x
  2. Step 2: Convert to fraction form
    75,842/163,312 = 163,312/x
  3. Step 3: Cross multiply
    75,842x = 163,312 × 163,312
  4. Step 4: Simplify right side
    75,842x = 26,670,809,344
  5. Step 5: Solve for x
    x = 26,670,809,344/75,842
  6. Step 6: Final answer
    x = 351,662.79

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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.