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Finding the Third Proportional to 103,692 and 155,499

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Solution

The third proportional to 103,692 and 155,499 is: 233,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692 : 155,499 = 155,499 : x
  2. Step 2: Convert to fraction form
    103,692/155,499 = 155,499/x
  3. Step 3: Cross multiply
    103,692x = 155,499 × 155,499
  4. Step 4: Simplify right side
    103,692x = 24,179,939,001
  5. Step 5: Solve for x
    x = 24,179,939,001/103,692
  6. Step 6: Final answer
    x = 233,190.01

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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.