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Finding the Third Proportional to 144,046 and 191,144

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Solution

The third proportional to 144,046 and 191,144 is: 253,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,046 : 191,144 = 191,144 : x
  2. Step 2: Convert to fraction form
    144,046/191,144 = 191,144/x
  3. Step 3: Cross multiply
    144,046x = 191,144 × 191,144
  4. Step 4: Simplify right side
    144,046x = 36,536,028,736
  5. Step 5: Solve for x
    x = 36,536,028,736/144,046
  6. Step 6: Final answer
    x = 253,641.40

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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.