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Finding the Third Proportional to 114,128 and 167,070

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Solution

The third proportional to 114,128 and 167,070 is: 244,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,128 : 167,070 = 167,070 : x
  2. Step 2: Convert to fraction form
    114,128/167,070 = 167,070/x
  3. Step 3: Cross multiply
    114,128x = 167,070 × 167,070
  4. Step 4: Simplify right side
    114,128x = 27,912,384,900
  5. Step 5: Solve for x
    x = 27,912,384,900/114,128
  6. Step 6: Final answer
    x = 244,570.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.