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Finding the Third Proportional to 124,058 and 177,195

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Solution

The third proportional to 124,058 and 177,195 is: 253,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,058 : 177,195 = 177,195 : x
  2. Step 2: Convert to fraction form
    124,058/177,195 = 177,195/x
  3. Step 3: Cross multiply
    124,058x = 177,195 × 177,195
  4. Step 4: Simplify right side
    124,058x = 31,398,068,025
  5. Step 5: Solve for x
    x = 31,398,068,025/124,058
  6. Step 6: Final answer
    x = 253,091.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.