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Finding the Third Proportional to 52,001 and 78,369

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Solution

The third proportional to 52,001 and 78,369 is: 118,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001 : 78,369 = 78,369 : x
  2. Step 2: Convert to fraction form
    52,001/78,369 = 78,369/x
  3. Step 3: Cross multiply
    52,001x = 78,369 × 78,369
  4. Step 4: Simplify right side
    52,001x = 6,141,700,161
  5. Step 5: Solve for x
    x = 6,141,700,161/52,001
  6. Step 6: Final answer
    x = 118,107.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.