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Finding the Third Proportional to 121,515.19 and 287,112.09

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Solution

The third proportional to 121,515.19 and 287,112.09 is: 678,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,515.19 : 287,112.09 = 287,112.09 : x
  2. Step 2: Convert to fraction form
    121,515.19/287,112.09 = 287,112.09/x
  3. Step 3: Cross multiply
    121,515.19x = 287,112.09 × 287,112.09
  4. Step 4: Simplify right side
    121,515.19x = 82,433,354,377.51
  5. Step 5: Solve for x
    x = 82,433,354,377.51/121,515.19
  6. Step 6: Final answer
    x = 678,379.02

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.