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Finding the Third Proportional to 97,055 and 205,774

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Solution

The third proportional to 97,055 and 205,774 is: 436,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,055 : 205,774 = 205,774 : x
  2. Step 2: Convert to fraction form
    97,055/205,774 = 205,774/x
  3. Step 3: Cross multiply
    97,055x = 205,774 × 205,774
  4. Step 4: Simplify right side
    97,055x = 42,342,939,076
  5. Step 5: Solve for x
    x = 42,342,939,076/97,055
  6. Step 6: Final answer
    x = 436,277.77

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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.