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Finding the Third Proportional to 96,545 and 202,324

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Solution

The third proportional to 96,545 and 202,324 is: 423,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,545 : 202,324 = 202,324 : x
  2. Step 2: Convert to fraction form
    96,545/202,324 = 202,324/x
  3. Step 3: Cross multiply
    96,545x = 202,324 × 202,324
  4. Step 4: Simplify right side
    96,545x = 40,935,000,976
  5. Step 5: Solve for x
    x = 40,935,000,976/96,545
  6. Step 6: Final answer
    x = 423,999.18

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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.