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Finding the Third Proportional to 103,654 and 155,562

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Solution

The third proportional to 103,654 and 155,562 is: 233,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,654 : 155,562 = 155,562 : x
  2. Step 2: Convert to fraction form
    103,654/155,562 = 155,562/x
  3. Step 3: Cross multiply
    103,654x = 155,562 × 155,562
  4. Step 4: Simplify right side
    103,654x = 24,199,535,844
  5. Step 5: Solve for x
    x = 24,199,535,844/103,654
  6. Step 6: Final answer
    x = 233,464.56

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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.