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Finding the Third Proportional to 63,666 and 130,518

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Solution

The third proportional to 63,666 and 130,518 is: 267,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,666 : 130,518 = 130,518 : x
  2. Step 2: Convert to fraction form
    63,666/130,518 = 130,518/x
  3. Step 3: Cross multiply
    63,666x = 130,518 × 130,518
  4. Step 4: Simplify right side
    63,666x = 17,034,948,324
  5. Step 5: Solve for x
    x = 17,034,948,324/63,666
  6. Step 6: Final answer
    x = 267,567.44

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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.