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Finding the Third Proportional to 64,477.69 and 137,256.19

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Solution

The third proportional to 64,477.69 and 137,256.19 is: 292,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,477.69 : 137,256.19 = 137,256.19 : x
  2. Step 2: Convert to fraction form
    64,477.69/137,256.19 = 137,256.19/x
  3. Step 3: Cross multiply
    64,477.69x = 137,256.19 × 137,256.19
  4. Step 4: Simplify right side
    64,477.69x = 18,839,261,007.04
  5. Step 5: Solve for x
    x = 18,839,261,007.04/64,477.69
  6. Step 6: Final answer
    x = 292,182.64

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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.