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Finding the Third Proportional to 96,606 and 145,638

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Solution

The third proportional to 96,606 and 145,638 is: 219,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,606 : 145,638 = 145,638 : x
  2. Step 2: Convert to fraction form
    96,606/145,638 = 145,638/x
  3. Step 3: Cross multiply
    96,606x = 145,638 × 145,638
  4. Step 4: Simplify right side
    96,606x = 21,210,427,044
  5. Step 5: Solve for x
    x = 21,210,427,044/96,606
  6. Step 6: Final answer
    x = 219,556.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.