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Finding the Third Proportional to 55,938 and 122,196

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Solution

The third proportional to 55,938 and 122,196 is: 266,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,938 : 122,196 = 122,196 : x
  2. Step 2: Convert to fraction form
    55,938/122,196 = 122,196/x
  3. Step 3: Cross multiply
    55,938x = 122,196 × 122,196
  4. Step 4: Simplify right side
    55,938x = 14,931,862,416
  5. Step 5: Solve for x
    x = 14,931,862,416/55,938
  6. Step 6: Final answer
    x = 266,935.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.