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Finding the Third Proportional to 117,432 and 157,302

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Solution

The third proportional to 117,432 and 157,302 is: 210,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,432 : 157,302 = 157,302 : x
  2. Step 2: Convert to fraction form
    117,432/157,302 = 157,302/x
  3. Step 3: Cross multiply
    117,432x = 157,302 × 157,302
  4. Step 4: Simplify right side
    117,432x = 24,743,919,204
  5. Step 5: Solve for x
    x = 24,743,919,204/117,432
  6. Step 6: Final answer
    x = 210,708.49

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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.