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Finding the Third Proportional to 95,409 and 129,574.69

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Solution

The third proportional to 95,409 and 129,574.69 is: 175,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,409 : 129,574.69 = 129,574.69 : x
  2. Step 2: Convert to fraction form
    95,409/129,574.69 = 129,574.69/x
  3. Step 3: Cross multiply
    95,409x = 129,574.69 × 129,574.69
  4. Step 4: Simplify right side
    95,409x = 16,789,599,640.72
  5. Step 5: Solve for x
    x = 16,789,599,640.72/95,409
  6. Step 6: Final answer
    x = 175,975.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.