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Finding the Third Proportional to 103,059 and 147,028.50

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Solution

The third proportional to 103,059 and 147,028.50 is: 209,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,059 : 147,028.50 = 147,028.50 : x
  2. Step 2: Convert to fraction form
    103,059/147,028.50 = 147,028.50/x
  3. Step 3: Cross multiply
    103,059x = 147,028.50 × 147,028.50
  4. Step 4: Simplify right side
    103,059x = 21,617,379,812.25
  5. Step 5: Solve for x
    x = 21,617,379,812.25/103,059
  6. Step 6: Final answer
    x = 209,757.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.