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Finding the Third Proportional to 52,912 and 72,056

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Solution

The third proportional to 52,912 and 72,056 is: 98,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,912 : 72,056 = 72,056 : x
  2. Step 2: Convert to fraction form
    52,912/72,056 = 72,056/x
  3. Step 3: Cross multiply
    52,912x = 72,056 × 72,056
  4. Step 4: Simplify right side
    52,912x = 5,192,067,136
  5. Step 5: Solve for x
    x = 5,192,067,136/52,912
  6. Step 6: Final answer
    x = 98,126.46

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.