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Finding the Third Proportional to 78,982.59 and 162,635.34

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Solution

The third proportional to 78,982.59 and 162,635.34 is: 334,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,982.59 : 162,635.34 = 162,635.34 : x
  2. Step 2: Convert to fraction form
    78,982.59/162,635.34 = 162,635.34/x
  3. Step 3: Cross multiply
    78,982.59x = 162,635.34 × 162,635.34
  4. Step 4: Simplify right side
    78,982.59x = 26,450,255,036.68
  5. Step 5: Solve for x
    x = 26,450,255,036.68/78,982.59
  6. Step 6: Final answer
    x = 334,887.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.