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Finding the Third Proportional to 25,606 and 56,190

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Solution

The third proportional to 25,606 and 56,190 is: 123,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606 : 56,190 = 56,190 : x
  2. Step 2: Convert to fraction form
    25,606/56,190 = 56,190/x
  3. Step 3: Cross multiply
    25,606x = 56,190 × 56,190
  4. Step 4: Simplify right side
    25,606x = 3,157,316,100
  5. Step 5: Solve for x
    x = 3,157,316,100/25,606
  6. Step 6: Final answer
    x = 123,303.76

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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.