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Finding the Third Proportional to 101,065.50 and 168,428.50

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Solution

The third proportional to 101,065.50 and 168,428.50 is: 280,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,065.50 : 168,428.50 = 168,428.50 : x
  2. Step 2: Convert to fraction form
    101,065.50/168,428.50 = 168,428.50/x
  3. Step 3: Cross multiply
    101,065.50x = 168,428.50 × 168,428.50
  4. Step 4: Simplify right side
    101,065.50x = 28,368,159,612.25
  5. Step 5: Solve for x
    x = 28,368,159,612.25/101,065.50
  6. Step 6: Final answer
    x = 280,690.84

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.