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Finding the Third Proportional to 51,136 and 77,496

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Solution

The third proportional to 51,136 and 77,496 is: 117,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,136 : 77,496 = 77,496 : x
  2. Step 2: Convert to fraction form
    51,136/77,496 = 77,496/x
  3. Step 3: Cross multiply
    51,136x = 77,496 × 77,496
  4. Step 4: Simplify right side
    51,136x = 6,005,630,016
  5. Step 5: Solve for x
    x = 6,005,630,016/51,136
  6. Step 6: Final answer
    x = 117,444.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.