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Finding the Third Proportional to 159,014 and 215,929

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Solution

The third proportional to 159,014 and 215,929 is: 293,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,014 : 215,929 = 215,929 : x
  2. Step 2: Convert to fraction form
    159,014/215,929 = 215,929/x
  3. Step 3: Cross multiply
    159,014x = 215,929 × 215,929
  4. Step 4: Simplify right side
    159,014x = 46,625,333,041
  5. Step 5: Solve for x
    x = 46,625,333,041/159,014
  6. Step 6: Final answer
    x = 293,215.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.