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Finding the Third Proportional to 75,745 and 163,118

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Solution

The third proportional to 75,745 and 163,118 is: 351,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,745 : 163,118 = 163,118 : x
  2. Step 2: Convert to fraction form
    75,745/163,118 = 163,118/x
  3. Step 3: Cross multiply
    75,745x = 163,118 × 163,118
  4. Step 4: Simplify right side
    75,745x = 26,607,481,924
  5. Step 5: Solve for x
    x = 26,607,481,924/75,745
  6. Step 6: Final answer
    x = 351,277.07

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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.