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Finding the Third Proportional to 71,604 and 155,007

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Solution

The third proportional to 71,604 and 155,007 is: 335,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,604 : 155,007 = 155,007 : x
  2. Step 2: Convert to fraction form
    71,604/155,007 = 155,007/x
  3. Step 3: Cross multiply
    71,604x = 155,007 × 155,007
  4. Step 4: Simplify right side
    71,604x = 24,027,170,049
  5. Step 5: Solve for x
    x = 24,027,170,049/71,604
  6. Step 6: Final answer
    x = 335,556.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.