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Finding the Third Proportional to 30,271 and 61,773

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Solution

The third proportional to 30,271 and 61,773 is: 126,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271 : 61,773 = 61,773 : x
  2. Step 2: Convert to fraction form
    30,271/61,773 = 61,773/x
  3. Step 3: Cross multiply
    30,271x = 61,773 × 61,773
  4. Step 4: Simplify right side
    30,271x = 3,815,903,529
  5. Step 5: Solve for x
    x = 3,815,903,529/30,271
  6. Step 6: Final answer
    x = 126,058.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.