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Finding the Third Proportional to 75,712 and 163,962

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Solution

The third proportional to 75,712 and 163,962 is: 355,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712 : 163,962 = 163,962 : x
  2. Step 2: Convert to fraction form
    75,712/163,962 = 163,962/x
  3. Step 3: Cross multiply
    75,712x = 163,962 × 163,962
  4. Step 4: Simplify right side
    75,712x = 26,883,537,444
  5. Step 5: Solve for x
    x = 26,883,537,444/75,712
  6. Step 6: Final answer
    x = 355,076.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.