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Finding the Third Proportional to 117,720 and 165,538

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Solution

The third proportional to 117,720 and 165,538 is: 232,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,720 : 165,538 = 165,538 : x
  2. Step 2: Convert to fraction form
    117,720/165,538 = 165,538/x
  3. Step 3: Cross multiply
    117,720x = 165,538 × 165,538
  4. Step 4: Simplify right side
    117,720x = 27,402,829,444
  5. Step 5: Solve for x
    x = 27,402,829,444/117,720
  6. Step 6: Final answer
    x = 232,779.73

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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.