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Finding the Third Proportional to 96,556 and 202,342

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Solution

The third proportional to 96,556 and 202,342 is: 424,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,556 : 202,342 = 202,342 : x
  2. Step 2: Convert to fraction form
    96,556/202,342 = 202,342/x
  3. Step 3: Cross multiply
    96,556x = 202,342 × 202,342
  4. Step 4: Simplify right side
    96,556x = 40,942,284,964
  5. Step 5: Solve for x
    x = 40,942,284,964/96,556
  6. Step 6: Final answer
    x = 424,026.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.