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Finding the Third Proportional to 117,336 and 159,417

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Solution

The third proportional to 117,336 and 159,417 is: 216,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,336 : 159,417 = 159,417 : x
  2. Step 2: Convert to fraction form
    117,336/159,417 = 159,417/x
  3. Step 3: Cross multiply
    117,336x = 159,417 × 159,417
  4. Step 4: Simplify right side
    117,336x = 25,413,779,889
  5. Step 5: Solve for x
    x = 25,413,779,889/117,336
  6. Step 6: Final answer
    x = 216,589.79

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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.