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Finding the Third Proportional to 117,938 and 157,128

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Solution

The third proportional to 117,938 and 157,128 is: 209,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,938 : 157,128 = 157,128 : x
  2. Step 2: Convert to fraction form
    117,938/157,128 = 157,128/x
  3. Step 3: Cross multiply
    117,938x = 157,128 × 157,128
  4. Step 4: Simplify right side
    117,938x = 24,689,208,384
  5. Step 5: Solve for x
    x = 24,689,208,384/117,938
  6. Step 6: Final answer
    x = 209,340.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.