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Finding the Third Proportional to 77,737 and 120,041

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Solution

The third proportional to 77,737 and 120,041 is: 185,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,737 : 120,041 = 120,041 : x
  2. Step 2: Convert to fraction form
    77,737/120,041 = 120,041/x
  3. Step 3: Cross multiply
    77,737x = 120,041 × 120,041
  4. Step 4: Simplify right side
    77,737x = 14,409,841,681
  5. Step 5: Solve for x
    x = 14,409,841,681/77,737
  6. Step 6: Final answer
    x = 185,366.58

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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.