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Finding the Third Proportional to 63,260 and 134,308

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Solution

The third proportional to 63,260 and 134,308 is: 285,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,260 : 134,308 = 134,308 : x
  2. Step 2: Convert to fraction form
    63,260/134,308 = 134,308/x
  3. Step 3: Cross multiply
    63,260x = 134,308 × 134,308
  4. Step 4: Simplify right side
    63,260x = 18,038,638,864
  5. Step 5: Solve for x
    x = 18,038,638,864/63,260
  6. Step 6: Final answer
    x = 285,150.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.