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Finding the Third Proportional to 130,514 and 195,267

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Solution

The third proportional to 130,514 and 195,267 is: 292,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,514 : 195,267 = 195,267 : x
  2. Step 2: Convert to fraction form
    130,514/195,267 = 195,267/x
  3. Step 3: Cross multiply
    130,514x = 195,267 × 195,267
  4. Step 4: Simplify right side
    130,514x = 38,129,201,289
  5. Step 5: Solve for x
    x = 38,129,201,289/130,514
  6. Step 6: Final answer
    x = 292,146.45

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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.