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Finding the Third Proportional to 65,097 and 98,199

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Solution

The third proportional to 65,097 and 98,199 is: 148,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097 : 98,199 = 98,199 : x
  2. Step 2: Convert to fraction form
    65,097/98,199 = 98,199/x
  3. Step 3: Cross multiply
    65,097x = 98,199 × 98,199
  4. Step 4: Simplify right side
    65,097x = 9,643,043,601
  5. Step 5: Solve for x
    x = 9,643,043,601/65,097
  6. Step 6: Final answer
    x = 148,133.46

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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.