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Finding the Third Proportional to 76,320 and 165,776

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Solution

The third proportional to 76,320 and 165,776 is: 360,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,320 : 165,776 = 165,776 : x
  2. Step 2: Convert to fraction form
    76,320/165,776 = 165,776/x
  3. Step 3: Cross multiply
    76,320x = 165,776 × 165,776
  4. Step 4: Simplify right side
    76,320x = 27,481,682,176
  5. Step 5: Solve for x
    x = 27,481,682,176/76,320
  6. Step 6: Final answer
    x = 360,084.93

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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.