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Finding the Third Proportional to 96,139 and 210,372

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Solution

The third proportional to 96,139 and 210,372 is: 460,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,139 : 210,372 = 210,372 : x
  2. Step 2: Convert to fraction form
    96,139/210,372 = 210,372/x
  3. Step 3: Cross multiply
    96,139x = 210,372 × 210,372
  4. Step 4: Simplify right side
    96,139x = 44,256,378,384
  5. Step 5: Solve for x
    x = 44,256,378,384/96,139
  6. Step 6: Final answer
    x = 460,337.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.