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Finding the Third Proportional to 52,008 and 122,729

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Solution

The third proportional to 52,008 and 122,729 is: 289,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,008 : 122,729 = 122,729 : x
  2. Step 2: Convert to fraction form
    52,008/122,729 = 122,729/x
  3. Step 3: Cross multiply
    52,008x = 122,729 × 122,729
  4. Step 4: Simplify right side
    52,008x = 15,062,407,441
  5. Step 5: Solve for x
    x = 15,062,407,441/52,008
  6. Step 6: Final answer
    x = 289,617.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.