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Finding the Third Proportional to 130,491 and 195,675.75

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Solution

The third proportional to 130,491 and 195,675.75 is: 293,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,491 : 195,675.75 = 195,675.75 : x
  2. Step 2: Convert to fraction form
    130,491/195,675.75 = 195,675.75/x
  3. Step 3: Cross multiply
    130,491x = 195,675.75 × 195,675.75
  4. Step 4: Simplify right side
    130,491x = 38,288,999,138.06
  5. Step 5: Solve for x
    x = 38,288,999,138.06/130,491
  6. Step 6: Final answer
    x = 293,422.53

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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.