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Finding the Third Proportional to 118,368 and 159,976

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Solution

The third proportional to 118,368 and 159,976 is: 216,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,368 : 159,976 = 159,976 : x
  2. Step 2: Convert to fraction form
    118,368/159,976 = 159,976/x
  3. Step 3: Cross multiply
    118,368x = 159,976 × 159,976
  4. Step 4: Simplify right side
    118,368x = 25,592,320,576
  5. Step 5: Solve for x
    x = 25,592,320,576/118,368
  6. Step 6: Final answer
    x = 216,209.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.