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Finding the Third Proportional to 121,515.19 and 185,029.31

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Solution

The third proportional to 121,515.19 and 185,029.31 is: 281,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,515.19 : 185,029.31 = 185,029.31 : x
  2. Step 2: Convert to fraction form
    121,515.19/185,029.31 = 185,029.31/x
  3. Step 3: Cross multiply
    121,515.19x = 185,029.31 × 185,029.31
  4. Step 4: Simplify right side
    121,515.19x = 34,235,846,484.22
  5. Step 5: Solve for x
    x = 34,235,846,484.22/121,515.19
  6. Step 6: Final answer
    x = 281,741.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.