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Finding the Third Proportional to 116,090 and 176,115

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Solution

The third proportional to 116,090 and 176,115 is: 267,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,090 : 176,115 = 176,115 : x
  2. Step 2: Convert to fraction form
    116,090/176,115 = 176,115/x
  3. Step 3: Cross multiply
    116,090x = 176,115 × 176,115
  4. Step 4: Simplify right side
    116,090x = 31,016,493,225
  5. Step 5: Solve for x
    x = 31,016,493,225/116,090
  6. Step 6: Final answer
    x = 267,176.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.