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Finding the Third Proportional to 55,754 and 120,596

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Solution

The third proportional to 55,754 and 120,596 is: 260,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,754 : 120,596 = 120,596 : x
  2. Step 2: Convert to fraction form
    55,754/120,596 = 120,596/x
  3. Step 3: Cross multiply
    55,754x = 120,596 × 120,596
  4. Step 4: Simplify right side
    55,754x = 14,543,395,216
  5. Step 5: Solve for x
    x = 14,543,395,216/55,754
  6. Step 6: Final answer
    x = 260,849.36

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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.