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Finding the Third Proportional to 94,004 and 203,587

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Solution

The third proportional to 94,004 and 203,587 is: 440,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,004 : 203,587 = 203,587 : x
  2. Step 2: Convert to fraction form
    94,004/203,587 = 203,587/x
  3. Step 3: Cross multiply
    94,004x = 203,587 × 203,587
  4. Step 4: Simplify right side
    94,004x = 41,447,666,569
  5. Step 5: Solve for x
    x = 41,447,666,569/94,004
  6. Step 6: Final answer
    x = 440,913.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.