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Finding the Third Proportional to 55,948 and 85,383

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Solution

The third proportional to 55,948 and 85,383 is: 130,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,948 : 85,383 = 85,383 : x
  2. Step 2: Convert to fraction form
    55,948/85,383 = 85,383/x
  3. Step 3: Cross multiply
    55,948x = 85,383 × 85,383
  4. Step 4: Simplify right side
    55,948x = 7,290,256,689
  5. Step 5: Solve for x
    x = 7,290,256,689/55,948
  6. Step 6: Final answer
    x = 130,304.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.