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Finding the Third Proportional to 45,368.25 and 68,097.75

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Solution

The third proportional to 45,368.25 and 68,097.75 is: 102,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,368.25 : 68,097.75 = 68,097.75 : x
  2. Step 2: Convert to fraction form
    45,368.25/68,097.75 = 68,097.75/x
  3. Step 3: Cross multiply
    45,368.25x = 68,097.75 × 68,097.75
  4. Step 4: Simplify right side
    45,368.25x = 4,637,303,555.06
  5. Step 5: Solve for x
    x = 4,637,303,555.06/45,368.25
  6. Step 6: Final answer
    x = 102,214.73

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Why These Related Problems?

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