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Finding the Third Proportional to 56,995 and 85,174

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Solution

The third proportional to 56,995 and 85,174 is: 127,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,995 : 85,174 = 85,174 : x
  2. Step 2: Convert to fraction form
    56,995/85,174 = 85,174/x
  3. Step 3: Cross multiply
    56,995x = 85,174 × 85,174
  4. Step 4: Simplify right side
    56,995x = 7,254,610,276
  5. Step 5: Solve for x
    x = 7,254,610,276/56,995
  6. Step 6: Final answer
    x = 127,285.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.