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Finding the Third Proportional to 51,599 and 113,040

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Solution

The third proportional to 51,599 and 113,040 is: 247,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,599 : 113,040 = 113,040 : x
  2. Step 2: Convert to fraction form
    51,599/113,040 = 113,040/x
  3. Step 3: Cross multiply
    51,599x = 113,040 × 113,040
  4. Step 4: Simplify right side
    51,599x = 12,778,041,600
  5. Step 5: Solve for x
    x = 12,778,041,600/51,599
  6. Step 6: Final answer
    x = 247,641.26

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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.