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Finding the Third Proportional to 118,951 and 161,470

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Solution

The third proportional to 118,951 and 161,470 is: 219,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,951 : 161,470 = 161,470 : x
  2. Step 2: Convert to fraction form
    118,951/161,470 = 161,470/x
  3. Step 3: Cross multiply
    118,951x = 161,470 × 161,470
  4. Step 4: Simplify right side
    118,951x = 26,072,560,900
  5. Step 5: Solve for x
    x = 26,072,560,900/118,951
  6. Step 6: Final answer
    x = 219,187.40

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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.