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Finding the Third Proportional to 78,963 and 125,022

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Solution

The third proportional to 78,963 and 125,022 is: 197,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,963 : 125,022 = 125,022 : x
  2. Step 2: Convert to fraction form
    78,963/125,022 = 125,022/x
  3. Step 3: Cross multiply
    78,963x = 125,022 × 125,022
  4. Step 4: Simplify right side
    78,963x = 15,630,500,484
  5. Step 5: Solve for x
    x = 15,630,500,484/78,963
  6. Step 6: Final answer
    x = 197,947.15

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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.