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Finding the Third Proportional to 71,271 and 153,841

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Solution

The third proportional to 71,271 and 153,841 is: 332,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,271 : 153,841 = 153,841 : x
  2. Step 2: Convert to fraction form
    71,271/153,841 = 153,841/x
  3. Step 3: Cross multiply
    71,271x = 153,841 × 153,841
  4. Step 4: Simplify right side
    71,271x = 23,667,053,281
  5. Step 5: Solve for x
    x = 23,667,053,281/71,271
  6. Step 6: Final answer
    x = 332,071.30

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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.