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Finding the Third Proportional to 54,885 and 84,730.50

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Solution

The third proportional to 54,885 and 84,730.50 is: 130,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,885 : 84,730.50 = 84,730.50 : x
  2. Step 2: Convert to fraction form
    54,885/84,730.50 = 84,730.50/x
  3. Step 3: Cross multiply
    54,885x = 84,730.50 × 84,730.50
  4. Step 4: Simplify right side
    54,885x = 7,179,257,630.25
  5. Step 5: Solve for x
    x = 7,179,257,630.25/54,885
  6. Step 6: Final answer
    x = 130,805.46

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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.