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Finding the Third Proportional to 56,813 and 123,602

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Solution

The third proportional to 56,813 and 123,602 is: 268,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,813 : 123,602 = 123,602 : x
  2. Step 2: Convert to fraction form
    56,813/123,602 = 123,602/x
  3. Step 3: Cross multiply
    56,813x = 123,602 × 123,602
  4. Step 4: Simplify right side
    56,813x = 15,277,454,404
  5. Step 5: Solve for x
    x = 15,277,454,404/56,813
  6. Step 6: Final answer
    x = 268,907.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.