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Finding the Third Proportional to 78,982 and 125,043

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Solution

The third proportional to 78,982 and 125,043 is: 197,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,982 : 125,043 = 125,043 : x
  2. Step 2: Convert to fraction form
    78,982/125,043 = 125,043/x
  3. Step 3: Cross multiply
    78,982x = 125,043 × 125,043
  4. Step 4: Simplify right side
    78,982x = 15,635,751,849
  5. Step 5: Solve for x
    x = 15,635,751,849/78,982
  6. Step 6: Final answer
    x = 197,966.02

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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.