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Finding the Third Proportional to 100,441.69 and 161,492.06

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Solution

The third proportional to 100,441.69 and 161,492.06 is: 259,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,441.69 : 161,492.06 = 161,492.06 : x
  2. Step 2: Convert to fraction form
    100,441.69/161,492.06 = 161,492.06/x
  3. Step 3: Cross multiply
    100,441.69x = 161,492.06 × 161,492.06
  4. Step 4: Simplify right side
    100,441.69x = 26,079,686,250.50
  5. Step 5: Solve for x
    x = 26,079,686,250.50/100,441.69
  6. Step 6: Final answer
    x = 259,650.02

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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.