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Finding the Third Proportional to 97,375 and 147,116

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Solution

The third proportional to 97,375 and 147,116 is: 222,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,375 : 147,116 = 147,116 : x
  2. Step 2: Convert to fraction form
    97,375/147,116 = 147,116/x
  3. Step 3: Cross multiply
    97,375x = 147,116 × 147,116
  4. Step 4: Simplify right side
    97,375x = 21,643,117,456
  5. Step 5: Solve for x
    x = 21,643,117,456/97,375
  6. Step 6: Final answer
    x = 222,265.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.