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Finding the Third Proportional to 64,232 and 137,392

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Solution

The third proportional to 64,232 and 137,392 is: 293,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,232 : 137,392 = 137,392 : x
  2. Step 2: Convert to fraction form
    64,232/137,392 = 137,392/x
  3. Step 3: Cross multiply
    64,232x = 137,392 × 137,392
  4. Step 4: Simplify right side
    64,232x = 18,876,561,664
  5. Step 5: Solve for x
    x = 18,876,561,664/64,232
  6. Step 6: Final answer
    x = 293,880.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.