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Finding the Third Proportional to 76,948 and 165,584

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Solution

The third proportional to 76,948 and 165,584 is: 356,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,948 : 165,584 = 165,584 : x
  2. Step 2: Convert to fraction form
    76,948/165,584 = 165,584/x
  3. Step 3: Cross multiply
    76,948x = 165,584 × 165,584
  4. Step 4: Simplify right side
    76,948x = 27,418,061,056
  5. Step 5: Solve for x
    x = 27,418,061,056/76,948
  6. Step 6: Final answer
    x = 356,319.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.