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Finding the Third Proportional to 52,126 and 122,929

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Solution

The third proportional to 52,126 and 122,929 is: 289,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,126 : 122,929 = 122,929 : x
  2. Step 2: Convert to fraction form
    52,126/122,929 = 122,929/x
  3. Step 3: Cross multiply
    52,126x = 122,929 × 122,929
  4. Step 4: Simplify right side
    52,126x = 15,111,539,041
  5. Step 5: Solve for x
    x = 15,111,539,041/52,126
  6. Step 6: Final answer
    x = 289,904.06

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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.