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Finding the Third Proportional to 79,902 and 172,262.25

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Solution

The third proportional to 79,902 and 172,262.25 is: 371,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,902 : 172,262.25 = 172,262.25 : x
  2. Step 2: Convert to fraction form
    79,902/172,262.25 = 172,262.25/x
  3. Step 3: Cross multiply
    79,902x = 172,262.25 × 172,262.25
  4. Step 4: Simplify right side
    79,902x = 29,674,282,775.06
  5. Step 5: Solve for x
    x = 29,674,282,775.06/79,902
  6. Step 6: Final answer
    x = 371,383.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.