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Finding the Third Proportional to 144,042.75 and 191,139.75

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Solution

The third proportional to 144,042.75 and 191,139.75 is: 253,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,042.75 : 191,139.75 = 191,139.75 : x
  2. Step 2: Convert to fraction form
    144,042.75/191,139.75 = 191,139.75/x
  3. Step 3: Cross multiply
    144,042.75x = 191,139.75 × 191,139.75
  4. Step 4: Simplify right side
    144,042.75x = 36,534,404,030.06
  5. Step 5: Solve for x
    x = 36,534,404,030.06/144,042.75
  6. Step 6: Final answer
    x = 253,635.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.