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Finding the Third Proportional to 118,044 and 177,960

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Solution

The third proportional to 118,044 and 177,960 is: 268,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,044 : 177,960 = 177,960 : x
  2. Step 2: Convert to fraction form
    118,044/177,960 = 177,960/x
  3. Step 3: Cross multiply
    118,044x = 177,960 × 177,960
  4. Step 4: Simplify right side
    118,044x = 31,669,761,600
  5. Step 5: Solve for x
    x = 31,669,761,600/118,044
  6. Step 6: Final answer
    x = 268,287.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.