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Finding the Third Proportional to 94,042 and 144,015

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Solution

The third proportional to 94,042 and 144,015 is: 220,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,042 : 144,015 = 144,015 : x
  2. Step 2: Convert to fraction form
    94,042/144,015 = 144,015/x
  3. Step 3: Cross multiply
    94,042x = 144,015 × 144,015
  4. Step 4: Simplify right side
    94,042x = 20,740,320,225
  5. Step 5: Solve for x
    x = 20,740,320,225/94,042
  6. Step 6: Final answer
    x = 220,543.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.