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Finding the Third Proportional to 56,602 and 123,034

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Solution

The third proportional to 56,602 and 123,034 is: 267,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,602 : 123,034 = 123,034 : x
  2. Step 2: Convert to fraction form
    56,602/123,034 = 123,034/x
  3. Step 3: Cross multiply
    56,602x = 123,034 × 123,034
  4. Step 4: Simplify right side
    56,602x = 15,137,365,156
  5. Step 5: Solve for x
    x = 15,137,365,156/56,602
  6. Step 6: Final answer
    x = 267,435.16

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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.