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Finding the Third Proportional to 100,372 and 146,787.50

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Solution

The third proportional to 100,372 and 146,787.50 is: 214,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,372 : 146,787.50 = 146,787.50 : x
  2. Step 2: Convert to fraction form
    100,372/146,787.50 = 146,787.50/x
  3. Step 3: Cross multiply
    100,372x = 146,787.50 × 146,787.50
  4. Step 4: Simplify right side
    100,372x = 21,546,570,156.25
  5. Step 5: Solve for x
    x = 21,546,570,156.25/100,372
  6. Step 6: Final answer
    x = 214,667.14

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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.