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Finding the Third Proportional to 84,716 and 134,012

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Solution

The third proportional to 84,716 and 134,012 is: 211,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,716 : 134,012 = 134,012 : x
  2. Step 2: Convert to fraction form
    84,716/134,012 = 134,012/x
  3. Step 3: Cross multiply
    84,716x = 134,012 × 134,012
  4. Step 4: Simplify right side
    84,716x = 17,959,216,144
  5. Step 5: Solve for x
    x = 17,959,216,144/84,716
  6. Step 6: Final answer
    x = 211,993.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.