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Finding the Third Proportional to 60,957 and 81,533.25

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Solution

The third proportional to 60,957 and 81,533.25 is: 109,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,957 : 81,533.25 = 81,533.25 : x
  2. Step 2: Convert to fraction form
    60,957/81,533.25 = 81,533.25/x
  3. Step 3: Cross multiply
    60,957x = 81,533.25 × 81,533.25
  4. Step 4: Simplify right side
    60,957x = 6,647,670,855.56
  5. Step 5: Solve for x
    x = 6,647,670,855.56/60,957
  6. Step 6: Final answer
    x = 109,055.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.