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Finding the Third Proportional to 130,274.58 and 195,725.11

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Solution

The third proportional to 130,274.58 and 195,725.11 is: 294,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,274.58 : 195,725.11 = 195,725.11 : x
  2. Step 2: Convert to fraction form
    130,274.58/195,725.11 = 195,725.11/x
  3. Step 3: Cross multiply
    130,274.58x = 195,725.11 × 195,725.11
  4. Step 4: Simplify right side
    130,274.58x = 38,308,318,439.86
  5. Step 5: Solve for x
    x = 38,308,318,439.86/130,274.58
  6. Step 6: Final answer
    x = 294,058.28

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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.