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Finding the Third Proportional to 59,654 and 131,728

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Solution

The third proportional to 59,654 and 131,728 is: 290,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,654 : 131,728 = 131,728 : x
  2. Step 2: Convert to fraction form
    59,654/131,728 = 131,728/x
  3. Step 3: Cross multiply
    59,654x = 131,728 × 131,728
  4. Step 4: Simplify right side
    59,654x = 17,352,265,984
  5. Step 5: Solve for x
    x = 17,352,265,984/59,654
  6. Step 6: Final answer
    x = 290,881.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.