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Finding the Third Proportional to 70,146.50 and 105,300.75

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Solution

The third proportional to 70,146.50 and 105,300.75 is: 158,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,146.50 : 105,300.75 = 105,300.75 : x
  2. Step 2: Convert to fraction form
    70,146.50/105,300.75 = 105,300.75/x
  3. Step 3: Cross multiply
    70,146.50x = 105,300.75 × 105,300.75
  4. Step 4: Simplify right side
    70,146.50x = 11,088,247,950.56
  5. Step 5: Solve for x
    x = 11,088,247,950.56/70,146.50
  6. Step 6: Final answer
    x = 158,072.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.