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Finding the Third Proportional to 96,926 and 205,590

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Solution

The third proportional to 96,926 and 205,590 is: 436,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,926 : 205,590 = 205,590 : x
  2. Step 2: Convert to fraction form
    96,926/205,590 = 205,590/x
  3. Step 3: Cross multiply
    96,926x = 205,590 × 205,590
  4. Step 4: Simplify right side
    96,926x = 42,267,248,100
  5. Step 5: Solve for x
    x = 42,267,248,100/96,926
  6. Step 6: Final answer
    x = 436,077.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.