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Finding the Third Proportional to 90,001.13 and 116,138.81

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Solution

The third proportional to 90,001.13 and 116,138.81 is: 149,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,001.13 : 116,138.81 = 116,138.81 : x
  2. Step 2: Convert to fraction form
    90,001.13/116,138.81 = 116,138.81/x
  3. Step 3: Cross multiply
    90,001.13x = 116,138.81 × 116,138.81
  4. Step 4: Simplify right side
    90,001.13x = 13,488,223,768.91
  5. Step 5: Solve for x
    x = 13,488,223,768.91/90,001.13
  6. Step 6: Final answer
    x = 149,867.28

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.