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Finding the Third Proportional to 77,741 and 120,047

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Solution

The third proportional to 77,741 and 120,047 is: 185,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,741 : 120,047 = 120,047 : x
  2. Step 2: Convert to fraction form
    77,741/120,047 = 120,047/x
  3. Step 3: Cross multiply
    77,741x = 120,047 × 120,047
  4. Step 4: Simplify right side
    77,741x = 14,411,282,209
  5. Step 5: Solve for x
    x = 14,411,282,209/77,741
  6. Step 6: Final answer
    x = 185,375.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.