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Finding the Third Proportional to 97,227 and 158,762.25

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Solution

The third proportional to 97,227 and 158,762.25 is: 259,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,227 : 158,762.25 = 158,762.25 : x
  2. Step 2: Convert to fraction form
    97,227/158,762.25 = 158,762.25/x
  3. Step 3: Cross multiply
    97,227x = 158,762.25 × 158,762.25
  4. Step 4: Simplify right side
    97,227x = 25,205,452,025.06
  5. Step 5: Solve for x
    x = 25,205,452,025.06/97,227
  6. Step 6: Final answer
    x = 259,243.34

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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.