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Finding the Third Proportional to 95,914.13 and 139,654.13

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Solution

The third proportional to 95,914.13 and 139,654.13 is: 203,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,914.13 : 139,654.13 = 139,654.13 : x
  2. Step 2: Convert to fraction form
    95,914.13/139,654.13 = 139,654.13/x
  3. Step 3: Cross multiply
    95,914.13x = 139,654.13 × 139,654.13
  4. Step 4: Simplify right side
    95,914.13x = 19,503,274,629.52
  5. Step 5: Solve for x
    x = 19,503,274,629.52/95,914.13
  6. Step 6: Final answer
    x = 203,341.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.