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Finding the Third Proportional to 55,290 and 118,469

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Solution

The third proportional to 55,290 and 118,469 is: 253,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,290 : 118,469 = 118,469 : x
  2. Step 2: Convert to fraction form
    55,290/118,469 = 118,469/x
  3. Step 3: Cross multiply
    55,290x = 118,469 × 118,469
  4. Step 4: Simplify right side
    55,290x = 14,034,903,961
  5. Step 5: Solve for x
    x = 14,034,903,961/55,290
  6. Step 6: Final answer
    x = 253,841.63

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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.