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Finding the Third Proportional to 55,274 and 118,435

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Solution

The third proportional to 55,274 and 118,435 is: 253,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,274 : 118,435 = 118,435 : x
  2. Step 2: Convert to fraction form
    55,274/118,435 = 118,435/x
  3. Step 3: Cross multiply
    55,274x = 118,435 × 118,435
  4. Step 4: Simplify right side
    55,274x = 14,026,849,225
  5. Step 5: Solve for x
    x = 14,026,849,225/55,274
  6. Step 6: Final answer
    x = 253,769.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.