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Finding the Third Proportional to 73,909 and 114,145

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Solution

The third proportional to 73,909 and 114,145 is: 176,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,909 : 114,145 = 114,145 : x
  2. Step 2: Convert to fraction form
    73,909/114,145 = 114,145/x
  3. Step 3: Cross multiply
    73,909x = 114,145 × 114,145
  4. Step 4: Simplify right side
    73,909x = 13,029,081,025
  5. Step 5: Solve for x
    x = 13,029,081,025/73,909
  6. Step 6: Final answer
    x = 176,285.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.