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Finding the Third Proportional to 130,658.06 and 195,782.06

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Solution

The third proportional to 130,658.06 and 195,782.06 is: 293,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,658.06 : 195,782.06 = 195,782.06 : x
  2. Step 2: Convert to fraction form
    130,658.06/195,782.06 = 195,782.06/x
  3. Step 3: Cross multiply
    130,658.06x = 195,782.06 × 195,782.06
  4. Step 4: Simplify right side
    130,658.06x = 38,330,615,996.75
  5. Step 5: Solve for x
    x = 38,330,615,996.75/130,658.06
  6. Step 6: Final answer
    x = 293,365.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.