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Finding the Third Proportional to 52,056 and 76,356

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Solution

The third proportional to 52,056 and 76,356 is: 111,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056 : 76,356 = 76,356 : x
  2. Step 2: Convert to fraction form
    52,056/76,356 = 76,356/x
  3. Step 3: Cross multiply
    52,056x = 76,356 × 76,356
  4. Step 4: Simplify right side
    52,056x = 5,830,238,736
  5. Step 5: Solve for x
    x = 5,830,238,736/52,056
  6. Step 6: Final answer
    x = 111,999.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.