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Finding the Third Proportional to 54,796 and 85,614

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Solution

The third proportional to 54,796 and 85,614 is: 133,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,796 : 85,614 = 85,614 : x
  2. Step 2: Convert to fraction form
    54,796/85,614 = 85,614/x
  3. Step 3: Cross multiply
    54,796x = 85,614 × 85,614
  4. Step 4: Simplify right side
    54,796x = 7,329,756,996
  5. Step 5: Solve for x
    x = 7,329,756,996/54,796
  6. Step 6: Final answer
    x = 133,764.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.