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Finding the Third Proportional to 98,187.19 and 141,562.69

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Solution

The third proportional to 98,187.19 and 141,562.69 is: 204,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,187.19 : 141,562.69 = 141,562.69 : x
  2. Step 2: Convert to fraction form
    98,187.19/141,562.69 = 141,562.69/x
  3. Step 3: Cross multiply
    98,187.19x = 141,562.69 × 141,562.69
  4. Step 4: Simplify right side
    98,187.19x = 20,039,994,492.22
  5. Step 5: Solve for x
    x = 20,039,994,492.22/98,187.19
  6. Step 6: Final answer
    x = 204,099.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.