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Finding the Third Proportional to 56,948.50 and 125,056

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Solution

The third proportional to 56,948.50 and 125,056 is: 274,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,948.50 : 125,056 = 125,056 : x
  2. Step 2: Convert to fraction form
    56,948.50/125,056 = 125,056/x
  3. Step 3: Cross multiply
    56,948.50x = 125,056 × 125,056
  4. Step 4: Simplify right side
    56,948.50x = 15,639,003,136
  5. Step 5: Solve for x
    x = 15,639,003,136/56,948.50
  6. Step 6: Final answer
    x = 274,616.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.