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Finding the Third Proportional to 104,156 and 215,692

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Solution

The third proportional to 104,156 and 215,692 is: 446,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,156 : 215,692 = 215,692 : x
  2. Step 2: Convert to fraction form
    104,156/215,692 = 215,692/x
  3. Step 3: Cross multiply
    104,156x = 215,692 × 215,692
  4. Step 4: Simplify right side
    104,156x = 46,523,038,864
  5. Step 5: Solve for x
    x = 46,523,038,864/104,156
  6. Step 6: Final answer
    x = 446,666.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.