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Finding the Third Proportional to 63,365 and 134,470

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Solution

The third proportional to 63,365 and 134,470 is: 285,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,365 : 134,470 = 134,470 : x
  2. Step 2: Convert to fraction form
    63,365/134,470 = 134,470/x
  3. Step 3: Cross multiply
    63,365x = 134,470 × 134,470
  4. Step 4: Simplify right side
    63,365x = 18,082,180,900
  5. Step 5: Solve for x
    x = 18,082,180,900/63,365
  6. Step 6: Final answer
    x = 285,365.44

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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.