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Finding the Third Proportional to 95,250 and 203,623

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Solution

The third proportional to 95,250 and 203,623 is: 435,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,250 : 203,623 = 203,623 : x
  2. Step 2: Convert to fraction form
    95,250/203,623 = 203,623/x
  3. Step 3: Cross multiply
    95,250x = 203,623 × 203,623
  4. Step 4: Simplify right side
    95,250x = 41,462,326,129
  5. Step 5: Solve for x
    x = 41,462,326,129/95,250
  6. Step 6: Final answer
    x = 435,300.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.