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Finding the Third Proportional to 89,700 and 142,759

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Solution

The third proportional to 89,700 and 142,759 is: 227,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,700 : 142,759 = 142,759 : x
  2. Step 2: Convert to fraction form
    89,700/142,759 = 142,759/x
  3. Step 3: Cross multiply
    89,700x = 142,759 × 142,759
  4. Step 4: Simplify right side
    89,700x = 20,380,132,081
  5. Step 5: Solve for x
    x = 20,380,132,081/89,700
  6. Step 6: Final answer
    x = 227,203.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.