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Finding the Third Proportional to 75,085 and 163,235

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Solution

The third proportional to 75,085 and 163,235 is: 354,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,085 : 163,235 = 163,235 : x
  2. Step 2: Convert to fraction form
    75,085/163,235 = 163,235/x
  3. Step 3: Cross multiply
    75,085x = 163,235 × 163,235
  4. Step 4: Simplify right side
    75,085x = 26,645,665,225
  5. Step 5: Solve for x
    x = 26,645,665,225/75,085
  6. Step 6: Final answer
    x = 354,873.35

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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.