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Finding the Third Proportional to 94,724 and 209,211

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Solution

The third proportional to 94,724 and 209,211 is: 462,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,724 : 209,211 = 209,211 : x
  2. Step 2: Convert to fraction form
    94,724/209,211 = 209,211/x
  3. Step 3: Cross multiply
    94,724x = 209,211 × 209,211
  4. Step 4: Simplify right side
    94,724x = 43,769,242,521
  5. Step 5: Solve for x
    x = 43,769,242,521/94,724
  6. Step 6: Final answer
    x = 462,071.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.