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Finding the Third Proportional to 121,093.13 and 186,749.44

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Solution

The third proportional to 121,093.13 and 186,749.44 is: 288,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,093.13 : 186,749.44 = 186,749.44 : x
  2. Step 2: Convert to fraction form
    121,093.13/186,749.44 = 186,749.44/x
  3. Step 3: Cross multiply
    121,093.13x = 186,749.44 × 186,749.44
  4. Step 4: Simplify right side
    121,093.13x = 34,875,352,406.57
  5. Step 5: Solve for x
    x = 34,875,352,406.57/121,093.13
  6. Step 6: Final answer
    x = 288,004.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.