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Finding the Third Proportional to 54,740 and 84,526

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Solution

The third proportional to 54,740 and 84,526 is: 130,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,740 : 84,526 = 84,526 : x
  2. Step 2: Convert to fraction form
    54,740/84,526 = 84,526/x
  3. Step 3: Cross multiply
    54,740x = 84,526 × 84,526
  4. Step 4: Simplify right side
    54,740x = 7,144,644,676
  5. Step 5: Solve for x
    x = 7,144,644,676/54,740
  6. Step 6: Final answer
    x = 130,519.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.