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Finding the Third Proportional to 67,556 and 147,004

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Solution

The third proportional to 67,556 and 147,004 is: 319,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,556 : 147,004 = 147,004 : x
  2. Step 2: Convert to fraction form
    67,556/147,004 = 147,004/x
  3. Step 3: Cross multiply
    67,556x = 147,004 × 147,004
  4. Step 4: Simplify right side
    67,556x = 21,610,176,016
  5. Step 5: Solve for x
    x = 21,610,176,016/67,556
  6. Step 6: Final answer
    x = 319,885.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.