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Finding the Third Proportional to 130,621.50 and 195,425.63

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Solution

The third proportional to 130,621.50 and 195,425.63 is: 292,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,621.50 : 195,425.63 = 195,425.63 : x
  2. Step 2: Convert to fraction form
    130,621.50/195,425.63 = 195,425.63/x
  3. Step 3: Cross multiply
    130,621.50x = 195,425.63 × 195,425.63
  4. Step 4: Simplify right side
    130,621.50x = 38,191,174,906.64
  5. Step 5: Solve for x
    x = 38,191,174,906.64/130,621.50
  6. Step 6: Final answer
    x = 292,380.46

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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.