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Finding the Third Proportional to 117,348 and 159,438

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Solution

The third proportional to 117,348 and 159,438 is: 216,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,348 : 159,438 = 159,438 : x
  2. Step 2: Convert to fraction form
    117,348/159,438 = 159,438/x
  3. Step 3: Cross multiply
    117,348x = 159,438 × 159,438
  4. Step 4: Simplify right side
    117,348x = 25,420,475,844
  5. Step 5: Solve for x
    x = 25,420,475,844/117,348
  6. Step 6: Final answer
    x = 216,624.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.