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Finding the Third Proportional to 117,542 and 173,840

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Solution

The third proportional to 117,542 and 173,840 is: 257,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,542 : 173,840 = 173,840 : x
  2. Step 2: Convert to fraction form
    117,542/173,840 = 173,840/x
  3. Step 3: Cross multiply
    117,542x = 173,840 × 173,840
  4. Step 4: Simplify right side
    117,542x = 30,220,345,600
  5. Step 5: Solve for x
    x = 30,220,345,600/117,542
  6. Step 6: Final answer
    x = 257,102.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.