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Finding the Third Proportional to 58,063 and 86,869

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Solution

The third proportional to 58,063 and 86,869 is: 129,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,063 : 86,869 = 86,869 : x
  2. Step 2: Convert to fraction form
    58,063/86,869 = 86,869/x
  3. Step 3: Cross multiply
    58,063x = 86,869 × 86,869
  4. Step 4: Simplify right side
    58,063x = 7,546,223,161
  5. Step 5: Solve for x
    x = 7,546,223,161/58,063
  6. Step 6: Final answer
    x = 129,966.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.