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Finding the Third Proportional to 96,076.50 and 153,483

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Solution

The third proportional to 96,076.50 and 153,483 is: 245,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,076.50 : 153,483 = 153,483 : x
  2. Step 2: Convert to fraction form
    96,076.50/153,483 = 153,483/x
  3. Step 3: Cross multiply
    96,076.50x = 153,483 × 153,483
  4. Step 4: Simplify right side
    96,076.50x = 23,557,031,289
  5. Step 5: Solve for x
    x = 23,557,031,289/96,076.50
  6. Step 6: Final answer
    x = 245,190.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.