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Finding the Third Proportional to 94,949 and 147,609

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Solution

The third proportional to 94,949 and 147,609 is: 229,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,949 : 147,609 = 147,609 : x
  2. Step 2: Convert to fraction form
    94,949/147,609 = 147,609/x
  3. Step 3: Cross multiply
    94,949x = 147,609 × 147,609
  4. Step 4: Simplify right side
    94,949x = 21,788,416,881
  5. Step 5: Solve for x
    x = 21,788,416,881/94,949
  6. Step 6: Final answer
    x = 229,474.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.