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Finding the Third Proportional to 117,418.50 and 157,293

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Solution

The third proportional to 117,418.50 and 157,293 is: 210,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,418.50 : 157,293 = 157,293 : x
  2. Step 2: Convert to fraction form
    117,418.50/157,293 = 157,293/x
  3. Step 3: Cross multiply
    117,418.50x = 157,293 × 157,293
  4. Step 4: Simplify right side
    117,418.50x = 24,741,087,849
  5. Step 5: Solve for x
    x = 24,741,087,849/117,418.50
  6. Step 6: Final answer
    x = 210,708.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.