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Finding the Third Proportional to 58,467 and 128,441.25

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Solution

The third proportional to 58,467 and 128,441.25 is: 282,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,467 : 128,441.25 = 128,441.25 : x
  2. Step 2: Convert to fraction form
    58,467/128,441.25 = 128,441.25/x
  3. Step 3: Cross multiply
    58,467x = 128,441.25 × 128,441.25
  4. Step 4: Simplify right side
    58,467x = 16,497,154,701.56
  5. Step 5: Solve for x
    x = 16,497,154,701.56/58,467
  6. Step 6: Final answer
    x = 282,161.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.