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Finding the Third Proportional to 124,832 and 187,056

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Solution

The third proportional to 124,832 and 187,056 is: 280,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,832 : 187,056 = 187,056 : x
  2. Step 2: Convert to fraction form
    124,832/187,056 = 187,056/x
  3. Step 3: Cross multiply
    124,832x = 187,056 × 187,056
  4. Step 4: Simplify right side
    124,832x = 34,989,947,136
  5. Step 5: Solve for x
    x = 34,989,947,136/124,832
  6. Step 6: Final answer
    x = 280,296.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.