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Finding the Third Proportional to 96,808.92 and 130,434.05

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Solution

The third proportional to 96,808.92 and 130,434.05 is: 175,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,808.92 : 130,434.05 = 130,434.05 : x
  2. Step 2: Convert to fraction form
    96,808.92/130,434.05 = 130,434.05/x
  3. Step 3: Cross multiply
    96,808.92x = 130,434.05 × 130,434.05
  4. Step 4: Simplify right side
    96,808.92x = 17,013,040,584.19
  5. Step 5: Solve for x
    x = 17,013,040,584.19/96,808.92
  6. Step 6: Final answer
    x = 175,738.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.