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Finding the Third Proportional to 55,007 and 85,798

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Solution

The third proportional to 55,007 and 85,798 is: 133,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,007 : 85,798 = 85,798 : x
  2. Step 2: Convert to fraction form
    55,007/85,798 = 85,798/x
  3. Step 3: Cross multiply
    55,007x = 85,798 × 85,798
  4. Step 4: Simplify right side
    55,007x = 7,361,296,804
  5. Step 5: Solve for x
    x = 7,361,296,804/55,007
  6. Step 6: Final answer
    x = 133,824.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.