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Finding the Third Proportional to 55,385 and 83,654

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Solution

The third proportional to 55,385 and 83,654 is: 126,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,385 : 83,654 = 83,654 : x
  2. Step 2: Convert to fraction form
    55,385/83,654 = 83,654/x
  3. Step 3: Cross multiply
    55,385x = 83,654 × 83,654
  4. Step 4: Simplify right side
    55,385x = 6,997,991,716
  5. Step 5: Solve for x
    x = 6,997,991,716/55,385
  6. Step 6: Final answer
    x = 126,351.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.