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Finding the Third Proportional to 64,172.25 and 84,351.38

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Solution

The third proportional to 64,172.25 and 84,351.38 is: 110,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,172.25 : 84,351.38 = 84,351.38 : x
  2. Step 2: Convert to fraction form
    64,172.25/84,351.38 = 84,351.38/x
  3. Step 3: Cross multiply
    64,172.25x = 84,351.38 × 84,351.38
  4. Step 4: Simplify right side
    64,172.25x = 7,115,154,464.39
  5. Step 5: Solve for x
    x = 7,115,154,464.39/64,172.25
  6. Step 6: Final answer
    x = 110,875.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.