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Finding the Third Proportional to 98,532 and 144,302

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Solution

The third proportional to 98,532 and 144,302 is: 211,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532 : 144,302 = 144,302 : x
  2. Step 2: Convert to fraction form
    98,532/144,302 = 144,302/x
  3. Step 3: Cross multiply
    98,532x = 144,302 × 144,302
  4. Step 4: Simplify right side
    98,532x = 20,823,067,204
  5. Step 5: Solve for x
    x = 20,823,067,204/98,532
  6. Step 6: Final answer
    x = 211,333.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.