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Finding the Third Proportional to 90,781 and 144,417

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Solution

The third proportional to 90,781 and 144,417 is: 229,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,781 : 144,417 = 144,417 : x
  2. Step 2: Convert to fraction form
    90,781/144,417 = 144,417/x
  3. Step 3: Cross multiply
    90,781x = 144,417 × 144,417
  4. Step 4: Simplify right side
    90,781x = 20,856,269,889
  5. Step 5: Solve for x
    x = 20,856,269,889/90,781
  6. Step 6: Final answer
    x = 229,742.68

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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.