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Finding the Third Proportional to 56,607 and 123,042

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Solution

The third proportional to 56,607 and 123,042 is: 267,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,607 : 123,042 = 123,042 : x
  2. Step 2: Convert to fraction form
    56,607/123,042 = 123,042/x
  3. Step 3: Cross multiply
    56,607x = 123,042 × 123,042
  4. Step 4: Simplify right side
    56,607x = 15,139,333,764
  5. Step 5: Solve for x
    x = 15,139,333,764/56,607
  6. Step 6: Final answer
    x = 267,446.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.