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Finding the Third Proportional to 130,539 and 195,321

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Solution

The third proportional to 130,539 and 195,321 is: 292,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,539 : 195,321 = 195,321 : x
  2. Step 2: Convert to fraction form
    130,539/195,321 = 195,321/x
  3. Step 3: Cross multiply
    130,539x = 195,321 × 195,321
  4. Step 4: Simplify right side
    130,539x = 38,150,293,041
  5. Step 5: Solve for x
    x = 38,150,293,041/130,539
  6. Step 6: Final answer
    x = 292,252.07

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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.