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Finding the Third Proportional to 95,602 and 133,716

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Solution

The third proportional to 95,602 and 133,716 is: 187,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,602 : 133,716 = 133,716 : x
  2. Step 2: Convert to fraction form
    95,602/133,716 = 133,716/x
  3. Step 3: Cross multiply
    95,602x = 133,716 × 133,716
  4. Step 4: Simplify right side
    95,602x = 17,879,968,656
  5. Step 5: Solve for x
    x = 17,879,968,656/95,602
  6. Step 6: Final answer
    x = 187,025.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.