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Finding the Third Proportional to 48,664 and 83,086

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Solution

The third proportional to 48,664 and 83,086 is: 141,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,664 : 83,086 = 83,086 : x
  2. Step 2: Convert to fraction form
    48,664/83,086 = 83,086/x
  3. Step 3: Cross multiply
    48,664x = 83,086 × 83,086
  4. Step 4: Simplify right side
    48,664x = 6,903,283,396
  5. Step 5: Solve for x
    x = 6,903,283,396/48,664
  6. Step 6: Final answer
    x = 141,856.06

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.