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Finding the Third Proportional to 94,640 and 145,467

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Solution

The third proportional to 94,640 and 145,467 is: 223,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,640 : 145,467 = 145,467 : x
  2. Step 2: Convert to fraction form
    94,640/145,467 = 145,467/x
  3. Step 3: Cross multiply
    94,640x = 145,467 × 145,467
  4. Step 4: Simplify right side
    94,640x = 21,160,648,089
  5. Step 5: Solve for x
    x = 21,160,648,089/94,640
  6. Step 6: Final answer
    x = 223,590.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.