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Finding the Third Proportional to 94,497 and 144,999

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Solution

The third proportional to 94,497 and 144,999 is: 222,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,497 : 144,999 = 144,999 : x
  2. Step 2: Convert to fraction form
    94,497/144,999 = 144,999/x
  3. Step 3: Cross multiply
    94,497x = 144,999 × 144,999
  4. Step 4: Simplify right side
    94,497x = 21,024,710,001
  5. Step 5: Solve for x
    x = 21,024,710,001/94,497
  6. Step 6: Final answer
    x = 222,490.77

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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.