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Finding the Third Proportional to 118,187 and 177,371

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Solution

The third proportional to 118,187 and 177,371 is: 266,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,187 : 177,371 = 177,371 : x
  2. Step 2: Convert to fraction form
    118,187/177,371 = 177,371/x
  3. Step 3: Cross multiply
    118,187x = 177,371 × 177,371
  4. Step 4: Simplify right side
    118,187x = 31,460,471,641
  5. Step 5: Solve for x
    x = 31,460,471,641/118,187
  6. Step 6: Final answer
    x = 266,192.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.