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Finding the Third Proportional to 87,228 and 138,346

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Solution

The third proportional to 87,228 and 138,346 is: 219,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,228 : 138,346 = 138,346 : x
  2. Step 2: Convert to fraction form
    87,228/138,346 = 138,346/x
  3. Step 3: Cross multiply
    87,228x = 138,346 × 138,346
  4. Step 4: Simplify right side
    87,228x = 19,139,615,716
  5. Step 5: Solve for x
    x = 19,139,615,716/87,228
  6. Step 6: Final answer
    x = 219,420.55

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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.