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Finding the Third Proportional to 99,724.50 and 134,356.50

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Solution

The third proportional to 99,724.50 and 134,356.50 is: 181,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,724.50 : 134,356.50 = 134,356.50 : x
  2. Step 2: Convert to fraction form
    99,724.50/134,356.50 = 134,356.50/x
  3. Step 3: Cross multiply
    99,724.50x = 134,356.50 × 134,356.50
  4. Step 4: Simplify right side
    99,724.50x = 18,051,669,092.25
  5. Step 5: Solve for x
    x = 18,051,669,092.25/99,724.50
  6. Step 6: Final answer
    x = 181,015.39

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.