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Finding the Third Proportional to 103,380 and 155,071

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Solution

The third proportional to 103,380 and 155,071 is: 232,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,380 : 155,071 = 155,071 : x
  2. Step 2: Convert to fraction form
    103,380/155,071 = 155,071/x
  3. Step 3: Cross multiply
    103,380x = 155,071 × 155,071
  4. Step 4: Simplify right side
    103,380x = 24,047,015,041
  5. Step 5: Solve for x
    x = 24,047,015,041/103,380
  6. Step 6: Final answer
    x = 232,608.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.