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Finding the Third Proportional to 130,693.50 and 195,520.50

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Solution

The third proportional to 130,693.50 and 195,520.50 is: 292,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,693.50 : 195,520.50 = 195,520.50 : x
  2. Step 2: Convert to fraction form
    130,693.50/195,520.50 = 195,520.50/x
  3. Step 3: Cross multiply
    130,693.50x = 195,520.50 × 195,520.50
  4. Step 4: Simplify right side
    130,693.50x = 38,228,265,920.25
  5. Step 5: Solve for x
    x = 38,228,265,920.25/130,693.50
  6. Step 6: Final answer
    x = 292,503.19

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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.