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Finding the Third Proportional to 103,392 and 136,111.50

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Solution

The third proportional to 103,392 and 136,111.50 is: 179,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,392 : 136,111.50 = 136,111.50 : x
  2. Step 2: Convert to fraction form
    103,392/136,111.50 = 136,111.50/x
  3. Step 3: Cross multiply
    103,392x = 136,111.50 × 136,111.50
  4. Step 4: Simplify right side
    103,392x = 18,526,340,432.25
  5. Step 5: Solve for x
    x = 18,526,340,432.25/103,392
  6. Step 6: Final answer
    x = 179,185.43

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.