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Finding the Third Proportional to 95,186.50 and 142,798

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Solution

The third proportional to 95,186.50 and 142,798 is: 214,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,186.50 : 142,798 = 142,798 : x
  2. Step 2: Convert to fraction form
    95,186.50/142,798 = 142,798/x
  3. Step 3: Cross multiply
    95,186.50x = 142,798 × 142,798
  4. Step 4: Simplify right side
    95,186.50x = 20,391,268,804
  5. Step 5: Solve for x
    x = 20,391,268,804/95,186.50
  6. Step 6: Final answer
    x = 214,224.38

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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.