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Finding the Third Proportional to 118,964 and 175,161

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Solution

The third proportional to 118,964 and 175,161 is: 257,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964 : 175,161 = 175,161 : x
  2. Step 2: Convert to fraction form
    118,964/175,161 = 175,161/x
  3. Step 3: Cross multiply
    118,964x = 175,161 × 175,161
  4. Step 4: Simplify right side
    118,964x = 30,681,375,921
  5. Step 5: Solve for x
    x = 30,681,375,921/118,964
  6. Step 6: Final answer
    x = 257,904.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.