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Finding the Third Proportional to 76,140 and 165,348

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Solution

The third proportional to 76,140 and 165,348 is: 359,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140 : 165,348 = 165,348 : x
  2. Step 2: Convert to fraction form
    76,140/165,348 = 165,348/x
  3. Step 3: Cross multiply
    76,140x = 165,348 × 165,348
  4. Step 4: Simplify right side
    76,140x = 27,339,961,104
  5. Step 5: Solve for x
    x = 27,339,961,104/76,140
  6. Step 6: Final answer
    x = 359,074.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.