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Finding the Third Proportional to 108,895 and 163,343

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Solution

The third proportional to 108,895 and 163,343 is: 245,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,895 : 163,343 = 163,343 : x
  2. Step 2: Convert to fraction form
    108,895/163,343 = 163,343/x
  3. Step 3: Cross multiply
    108,895x = 163,343 × 163,343
  4. Step 4: Simplify right side
    108,895x = 26,680,935,649
  5. Step 5: Solve for x
    x = 26,680,935,649/108,895
  6. Step 6: Final answer
    x = 245,015.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.