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Finding the Third Proportional to 96,616 and 147,797

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Solution

The third proportional to 96,616 and 147,797 is: 226,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,616 : 147,797 = 147,797 : x
  2. Step 2: Convert to fraction form
    96,616/147,797 = 147,797/x
  3. Step 3: Cross multiply
    96,616x = 147,797 × 147,797
  4. Step 4: Simplify right side
    96,616x = 21,843,953,209
  5. Step 5: Solve for x
    x = 21,843,953,209/96,616
  6. Step 6: Final answer
    x = 226,090.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.