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Finding the Third Proportional to 141,582.75 and 214,187.63

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Solution

The third proportional to 141,582.75 and 214,187.63 is: 324,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,582.75 : 214,187.63 = 214,187.63 : x
  2. Step 2: Convert to fraction form
    141,582.75/214,187.63 = 214,187.63/x
  3. Step 3: Cross multiply
    141,582.75x = 214,187.63 × 214,187.63
  4. Step 4: Simplify right side
    141,582.75x = 45,876,338,703.14
  5. Step 5: Solve for x
    x = 45,876,338,703.14/141,582.75
  6. Step 6: Final answer
    x = 324,024.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.