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Finding the Third Proportional to 67,402 and 159,053

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Solution

The third proportional to 67,402 and 159,053 is: 375,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,402 : 159,053 = 159,053 : x
  2. Step 2: Convert to fraction form
    67,402/159,053 = 159,053/x
  3. Step 3: Cross multiply
    67,402x = 159,053 × 159,053
  4. Step 4: Simplify right side
    67,402x = 25,297,856,809
  5. Step 5: Solve for x
    x = 25,297,856,809/67,402
  6. Step 6: Final answer
    x = 375,327.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.