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Finding the Third Proportional to 130,000.75 and 195,923.38

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Solution

The third proportional to 130,000.75 and 195,923.38 is: 295,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,000.75 : 195,923.38 = 195,923.38 : x
  2. Step 2: Convert to fraction form
    130,000.75/195,923.38 = 195,923.38/x
  3. Step 3: Cross multiply
    130,000.75x = 195,923.38 × 195,923.38
  4. Step 4: Simplify right side
    130,000.75x = 38,385,968,871.39
  5. Step 5: Solve for x
    x = 38,385,968,871.39/130,000.75
  6. Step 6: Final answer
    x = 295,274.98

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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.