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Finding the Third Proportional to 63,496 and 137,928

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Solution

The third proportional to 63,496 and 137,928 is: 299,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,496 : 137,928 = 137,928 : x
  2. Step 2: Convert to fraction form
    63,496/137,928 = 137,928/x
  3. Step 3: Cross multiply
    63,496x = 137,928 × 137,928
  4. Step 4: Simplify right side
    63,496x = 19,024,133,184
  5. Step 5: Solve for x
    x = 19,024,133,184/63,496
  6. Step 6: Final answer
    x = 299,611.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.