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Finding the Third Proportional to 55,056 and 120,804

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Solution

The third proportional to 55,056 and 120,804 is: 265,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,056 : 120,804 = 120,804 : x
  2. Step 2: Convert to fraction form
    55,056/120,804 = 120,804/x
  3. Step 3: Cross multiply
    55,056x = 120,804 × 120,804
  4. Step 4: Simplify right side
    55,056x = 14,593,606,416
  5. Step 5: Solve for x
    x = 14,593,606,416/55,056
  6. Step 6: Final answer
    x = 265,068.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.