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Finding the Third Proportional to 30,090.50 and 65,203

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Solution

The third proportional to 30,090.50 and 65,203 is: 141,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090.50 : 65,203 = 65,203 : x
  2. Step 2: Convert to fraction form
    30,090.50/65,203 = 65,203/x
  3. Step 3: Cross multiply
    30,090.50x = 65,203 × 65,203
  4. Step 4: Simplify right side
    30,090.50x = 4,251,431,209
  5. Step 5: Solve for x
    x = 4,251,431,209/30,090.50
  6. Step 6: Final answer
    x = 141,288.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.