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Finding the Third Proportional to 86,574.45 and 130,434.05

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Solution

The third proportional to 86,574.45 and 130,434.05 is: 196,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,574.45 : 130,434.05 = 130,434.05 : x
  2. Step 2: Convert to fraction form
    86,574.45/130,434.05 = 130,434.05/x
  3. Step 3: Cross multiply
    86,574.45x = 130,434.05 × 130,434.05
  4. Step 4: Simplify right side
    86,574.45x = 17,013,040,584.19
  5. Step 5: Solve for x
    x = 17,013,040,584.19/86,574.45
  6. Step 6: Final answer
    x = 196,513.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.