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Finding the Third Proportional to 120,834 and 261,106

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Solution

The third proportional to 120,834 and 261,106 is: 564,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,834 : 261,106 = 261,106 : x
  2. Step 2: Convert to fraction form
    120,834/261,106 = 261,106/x
  3. Step 3: Cross multiply
    120,834x = 261,106 × 261,106
  4. Step 4: Simplify right side
    120,834x = 68,176,343,236
  5. Step 5: Solve for x
    x = 68,176,343,236/120,834
  6. Step 6: Final answer
    x = 564,214.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.