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Finding the Third Proportional to 62,978 and 97,498

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Solution

The third proportional to 62,978 and 97,498 is: 150,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,978 : 97,498 = 97,498 : x
  2. Step 2: Convert to fraction form
    62,978/97,498 = 97,498/x
  3. Step 3: Cross multiply
    62,978x = 97,498 × 97,498
  4. Step 4: Simplify right side
    62,978x = 9,505,860,004
  5. Step 5: Solve for x
    x = 9,505,860,004/62,978
  6. Step 6: Final answer
    x = 150,939.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.