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Finding the Third Proportional to 100,447.50 and 161,502

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Solution

The third proportional to 100,447.50 and 161,502 is: 259,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,447.50 : 161,502 = 161,502 : x
  2. Step 2: Convert to fraction form
    100,447.50/161,502 = 161,502/x
  3. Step 3: Cross multiply
    100,447.50x = 161,502 × 161,502
  4. Step 4: Simplify right side
    100,447.50x = 26,082,896,004
  5. Step 5: Solve for x
    x = 26,082,896,004/100,447.50
  6. Step 6: Final answer
    x = 259,666.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.