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Finding the Third Proportional to 116,658.75 and 176,058

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Solution

The third proportional to 116,658.75 and 176,058 is: 265,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,658.75 : 176,058 = 176,058 : x
  2. Step 2: Convert to fraction form
    116,658.75/176,058 = 176,058/x
  3. Step 3: Cross multiply
    116,658.75x = 176,058 × 176,058
  4. Step 4: Simplify right side
    116,658.75x = 30,996,419,364
  5. Step 5: Solve for x
    x = 30,996,419,364/116,658.75
  6. Step 6: Final answer
    x = 265,701.62

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