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Finding the Third Proportional to 71,495 and 141,194

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Solution

The third proportional to 71,495 and 141,194 is: 278,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,495 : 141,194 = 141,194 : x
  2. Step 2: Convert to fraction form
    71,495/141,194 = 141,194/x
  3. Step 3: Cross multiply
    71,495x = 141,194 × 141,194
  4. Step 4: Simplify right side
    71,495x = 19,935,745,636
  5. Step 5: Solve for x
    x = 19,935,745,636/71,495
  6. Step 6: Final answer
    x = 278,841.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.