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Finding the Third Proportional to 98,576 and 151,520

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Solution

The third proportional to 98,576 and 151,520 is: 232,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576 : 151,520 = 151,520 : x
  2. Step 2: Convert to fraction form
    98,576/151,520 = 151,520/x
  3. Step 3: Cross multiply
    98,576x = 151,520 × 151,520
  4. Step 4: Simplify right side
    98,576x = 22,958,310,400
  5. Step 5: Solve for x
    x = 22,958,310,400/98,576
  6. Step 6: Final answer
    x = 232,899.59

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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.