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Finding the Third Proportional to 102,554.44 and 155,201.06

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Solution

The third proportional to 102,554.44 and 155,201.06 is: 234,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,554.44 : 155,201.06 = 155,201.06 : x
  2. Step 2: Convert to fraction form
    102,554.44/155,201.06 = 155,201.06/x
  3. Step 3: Cross multiply
    102,554.44x = 155,201.06 × 155,201.06
  4. Step 4: Simplify right side
    102,554.44x = 24,087,369,801.13
  5. Step 5: Solve for x
    x = 24,087,369,801.13/102,554.44
  6. Step 6: Final answer
    x = 234,873.99

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