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Finding the Third Proportional to 74,042.75 and 144,394.95

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Solution

The third proportional to 74,042.75 and 144,394.95 is: 281,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,042.75 : 144,394.95 = 144,394.95 : x
  2. Step 2: Convert to fraction form
    74,042.75/144,394.95 = 144,394.95/x
  3. Step 3: Cross multiply
    74,042.75x = 144,394.95 × 144,394.95
  4. Step 4: Simplify right side
    74,042.75x = 20,849,900,231.80
  5. Step 5: Solve for x
    x = 20,849,900,231.80/74,042.75
  6. Step 6: Final answer
    x = 281,592.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.