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Finding the Third Proportional to 63,506 and 130,279

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Solution

The third proportional to 63,506 and 130,279 is: 267,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,506 : 130,279 = 130,279 : x
  2. Step 2: Convert to fraction form
    63,506/130,279 = 130,279/x
  3. Step 3: Cross multiply
    63,506x = 130,279 × 130,279
  4. Step 4: Simplify right side
    63,506x = 16,972,617,841
  5. Step 5: Solve for x
    x = 16,972,617,841/63,506
  6. Step 6: Final answer
    x = 267,260.07

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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.