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Finding the Third Proportional to 53,026 and 74,929

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Solution

The third proportional to 53,026 and 74,929 is: 105,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,026 : 74,929 = 74,929 : x
  2. Step 2: Convert to fraction form
    53,026/74,929 = 74,929/x
  3. Step 3: Cross multiply
    53,026x = 74,929 × 74,929
  4. Step 4: Simplify right side
    53,026x = 5,614,355,041
  5. Step 5: Solve for x
    x = 5,614,355,041/53,026
  6. Step 6: Final answer
    x = 105,879.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.