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Finding the Third Proportional to 71,024 and 153,122

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Solution

The third proportional to 71,024 and 153,122 is: 330,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024 : 153,122 = 153,122 : x
  2. Step 2: Convert to fraction form
    71,024/153,122 = 153,122/x
  3. Step 3: Cross multiply
    71,024x = 153,122 × 153,122
  4. Step 4: Simplify right side
    71,024x = 23,446,346,884
  5. Step 5: Solve for x
    x = 23,446,346,884/71,024
  6. Step 6: Final answer
    x = 330,118.65

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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.