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Finding the Third Proportional to 55,747 and 122,071

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Solution

The third proportional to 55,747 and 122,071 is: 267,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,747 : 122,071 = 122,071 : x
  2. Step 2: Convert to fraction form
    55,747/122,071 = 122,071/x
  3. Step 3: Cross multiply
    55,747x = 122,071 × 122,071
  4. Step 4: Simplify right side
    55,747x = 14,901,329,041
  5. Step 5: Solve for x
    x = 14,901,329,041/55,747
  6. Step 6: Final answer
    x = 267,302.80

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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.