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Finding the Third Proportional to 64,533 and 140,973

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Solution

The third proportional to 64,533 and 140,973 is: 307,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,533 : 140,973 = 140,973 : x
  2. Step 2: Convert to fraction form
    64,533/140,973 = 140,973/x
  3. Step 3: Cross multiply
    64,533x = 140,973 × 140,973
  4. Step 4: Simplify right side
    64,533x = 19,873,386,729
  5. Step 5: Solve for x
    x = 19,873,386,729/64,533
  6. Step 6: Final answer
    x = 307,956.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.