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Finding the Third Proportional to 107,313 and 166,088

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Solution

The third proportional to 107,313 and 166,088 is: 257,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,313 : 166,088 = 166,088 : x
  2. Step 2: Convert to fraction form
    107,313/166,088 = 166,088/x
  3. Step 3: Cross multiply
    107,313x = 166,088 × 166,088
  4. Step 4: Simplify right side
    107,313x = 27,585,223,744
  5. Step 5: Solve for x
    x = 27,585,223,744/107,313
  6. Step 6: Final answer
    x = 257,053.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.