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Finding the Third Proportional to 102,181.50 and 141,107.06

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Solution

The third proportional to 102,181.50 and 141,107.06 is: 194,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,181.50 : 141,107.06 = 141,107.06 : x
  2. Step 2: Convert to fraction form
    102,181.50/141,107.06 = 141,107.06/x
  3. Step 3: Cross multiply
    102,181.50x = 141,107.06 × 141,107.06
  4. Step 4: Simplify right side
    102,181.50x = 19,911,203,087.38
  5. Step 5: Solve for x
    x = 19,911,203,087.38/102,181.50
  6. Step 6: Final answer
    x = 194,861.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.