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Finding the Third Proportional to 101,054.25 and 147,136.50

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Solution

The third proportional to 101,054.25 and 147,136.50 is: 214,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,054.25 : 147,136.50 = 147,136.50 : x
  2. Step 2: Convert to fraction form
    101,054.25/147,136.50 = 147,136.50/x
  3. Step 3: Cross multiply
    101,054.25x = 147,136.50 × 147,136.50
  4. Step 4: Simplify right side
    101,054.25x = 21,649,149,632.25
  5. Step 5: Solve for x
    x = 21,649,149,632.25/101,054.25
  6. Step 6: Final answer
    x = 214,232.95

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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.