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Finding the Third Proportional to 118,360 and 159,964

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Solution

The third proportional to 118,360 and 159,964 is: 216,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,360 : 159,964 = 159,964 : x
  2. Step 2: Convert to fraction form
    118,360/159,964 = 159,964/x
  3. Step 3: Cross multiply
    118,360x = 159,964 × 159,964
  4. Step 4: Simplify right side
    118,360x = 25,588,481,296
  5. Step 5: Solve for x
    x = 25,588,481,296/118,360
  6. Step 6: Final answer
    x = 216,191.97

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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.