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Finding the Third Proportional to 105,724.50 and 154,368

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Solution

The third proportional to 105,724.50 and 154,368 is: 225,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,724.50 : 154,368 = 154,368 : x
  2. Step 2: Convert to fraction form
    105,724.50/154,368 = 154,368/x
  3. Step 3: Cross multiply
    105,724.50x = 154,368 × 154,368
  4. Step 4: Simplify right side
    105,724.50x = 23,829,479,424
  5. Step 5: Solve for x
    x = 23,829,479,424/105,724.50
  6. Step 6: Final answer
    x = 225,392.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.