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Finding the Third Proportional to 63,514 and 130,296

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Solution

The third proportional to 63,514 and 130,296 is: 267,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,514 : 130,296 = 130,296 : x
  2. Step 2: Convert to fraction form
    63,514/130,296 = 130,296/x
  3. Step 3: Cross multiply
    63,514x = 130,296 × 130,296
  4. Step 4: Simplify right side
    63,514x = 16,977,047,616
  5. Step 5: Solve for x
    x = 16,977,047,616/63,514
  6. Step 6: Final answer
    x = 267,296.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.