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Finding the Third Proportional to 97,191 and 158,705

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Solution

The third proportional to 97,191 and 158,705 is: 259,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,191 : 158,705 = 158,705 : x
  2. Step 2: Convert to fraction form
    97,191/158,705 = 158,705/x
  3. Step 3: Cross multiply
    97,191x = 158,705 × 158,705
  4. Step 4: Simplify right side
    97,191x = 25,187,277,025
  5. Step 5: Solve for x
    x = 25,187,277,025/97,191
  6. Step 6: Final answer
    x = 259,152.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.