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Finding the Third Proportional to 89,740 and 138,937

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Solution

The third proportional to 89,740 and 138,937 is: 215,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,740 : 138,937 = 138,937 : x
  2. Step 2: Convert to fraction form
    89,740/138,937 = 138,937/x
  3. Step 3: Cross multiply
    89,740x = 138,937 × 138,937
  4. Step 4: Simplify right side
    89,740x = 19,303,489,969
  5. Step 5: Solve for x
    x = 19,303,489,969/89,740
  6. Step 6: Final answer
    x = 215,104.64

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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.