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Finding the Third Proportional to 97,220 and 158,751

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Solution

The third proportional to 97,220 and 158,751 is: 259,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,220 : 158,751 = 158,751 : x
  2. Step 2: Convert to fraction form
    97,220/158,751 = 158,751/x
  3. Step 3: Cross multiply
    97,220x = 158,751 × 158,751
  4. Step 4: Simplify right side
    97,220x = 25,201,880,001
  5. Step 5: Solve for x
    x = 25,201,880,001/97,220
  6. Step 6: Final answer
    x = 259,225.26

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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.