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Finding the Third Proportional to 64,477.13 and 137,257.88

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Solution

The third proportional to 64,477.13 and 137,257.88 is: 292,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,477.13 : 137,257.88 = 137,257.88 : x
  2. Step 2: Convert to fraction form
    64,477.13/137,257.88 = 137,257.88/x
  3. Step 3: Cross multiply
    64,477.13x = 137,257.88 × 137,257.88
  4. Step 4: Simplify right side
    64,477.13x = 18,839,724,249.52
  5. Step 5: Solve for x
    x = 18,839,724,249.52/64,477.13
  6. Step 6: Final answer
    x = 292,192.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.