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Finding the Third Proportional to 104,986.13 and 141,451.31

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Solution

The third proportional to 104,986.13 and 141,451.31 is: 190,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,986.13 : 141,451.31 = 141,451.31 : x
  2. Step 2: Convert to fraction form
    104,986.13/141,451.31 = 141,451.31/x
  3. Step 3: Cross multiply
    104,986.13x = 141,451.31 × 141,451.31
  4. Step 4: Simplify right side
    104,986.13x = 20,008,473,807.97
  5. Step 5: Solve for x
    x = 20,008,473,807.97/104,986.13
  6. Step 6: Final answer
    x = 190,582.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.