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Finding the Third Proportional to 55,461 and 83,164

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Solution

The third proportional to 55,461 and 83,164 is: 124,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,461 : 83,164 = 83,164 : x
  2. Step 2: Convert to fraction form
    55,461/83,164 = 83,164/x
  3. Step 3: Cross multiply
    55,461x = 83,164 × 83,164
  4. Step 4: Simplify right side
    55,461x = 6,916,250,896
  5. Step 5: Solve for x
    x = 6,916,250,896/55,461
  6. Step 6: Final answer
    x = 124,704.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.