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Finding the Third Proportional to 100,392.75 and 147,237.75

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Solution

The third proportional to 100,392.75 and 147,237.75 is: 215,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,392.75 : 147,237.75 = 147,237.75 : x
  2. Step 2: Convert to fraction form
    100,392.75/147,237.75 = 147,237.75/x
  3. Step 3: Cross multiply
    100,392.75x = 147,237.75 × 147,237.75
  4. Step 4: Simplify right side
    100,392.75x = 21,678,955,025.06
  5. Step 5: Solve for x
    x = 21,678,955,025.06/100,392.75
  6. Step 6: Final answer
    x = 215,941.44

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.