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Finding the Third Proportional to 75,835 and 163,298

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Solution

The third proportional to 75,835 and 163,298 is: 351,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835 : 163,298 = 163,298 : x
  2. Step 2: Convert to fraction form
    75,835/163,298 = 163,298/x
  3. Step 3: Cross multiply
    75,835x = 163,298 × 163,298
  4. Step 4: Simplify right side
    75,835x = 26,666,236,804
  5. Step 5: Solve for x
    x = 26,666,236,804/75,835
  6. Step 6: Final answer
    x = 351,634.95

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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.