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Finding the Third Proportional to 54,735 and 84,519

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Solution

The third proportional to 54,735 and 84,519 is: 130,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,735 : 84,519 = 84,519 : x
  2. Step 2: Convert to fraction form
    54,735/84,519 = 84,519/x
  3. Step 3: Cross multiply
    54,735x = 84,519 × 84,519
  4. Step 4: Simplify right side
    54,735x = 7,143,461,361
  5. Step 5: Solve for x
    x = 7,143,461,361/54,735
  6. Step 6: Final answer
    x = 130,509.94

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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.