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Finding the Third Proportional to 70,485 and 103,081.50

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Solution

The third proportional to 70,485 and 103,081.50 is: 150,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,485 : 103,081.50 = 103,081.50 : x
  2. Step 2: Convert to fraction form
    70,485/103,081.50 = 103,081.50/x
  3. Step 3: Cross multiply
    70,485x = 103,081.50 × 103,081.50
  4. Step 4: Simplify right side
    70,485x = 10,625,795,642.25
  5. Step 5: Solve for x
    x = 10,625,795,642.25/70,485
  6. Step 6: Final answer
    x = 150,752.58

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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.