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Finding the Third Proportional to 58,211 and 86,224

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Solution

The third proportional to 58,211 and 86,224 is: 127,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,211 : 86,224 = 86,224 : x
  2. Step 2: Convert to fraction form
    58,211/86,224 = 86,224/x
  3. Step 3: Cross multiply
    58,211x = 86,224 × 86,224
  4. Step 4: Simplify right side
    58,211x = 7,434,578,176
  5. Step 5: Solve for x
    x = 7,434,578,176/58,211
  6. Step 6: Final answer
    x = 127,717.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.