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Finding the Third Proportional to 56,061 and 123,043

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Solution

The third proportional to 56,061 and 123,043 is: 270,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,061 : 123,043 = 123,043 : x
  2. Step 2: Convert to fraction form
    56,061/123,043 = 123,043/x
  3. Step 3: Cross multiply
    56,061x = 123,043 × 123,043
  4. Step 4: Simplify right side
    56,061x = 15,139,579,849
  5. Step 5: Solve for x
    x = 15,139,579,849/56,061
  6. Step 6: Final answer
    x = 270,055.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.