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Finding the Third Proportional to 97,682 and 148,395

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Solution

The third proportional to 97,682 and 148,395 is: 225,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,682 : 148,395 = 148,395 : x
  2. Step 2: Convert to fraction form
    97,682/148,395 = 148,395/x
  3. Step 3: Cross multiply
    97,682x = 148,395 × 148,395
  4. Step 4: Simplify right side
    97,682x = 22,021,076,025
  5. Step 5: Solve for x
    x = 22,021,076,025/97,682
  6. Step 6: Final answer
    x = 225,436.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.