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Finding the Third Proportional to 76,312 and 165,758

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Solution

The third proportional to 76,312 and 165,758 is: 360,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,312 : 165,758 = 165,758 : x
  2. Step 2: Convert to fraction form
    76,312/165,758 = 165,758/x
  3. Step 3: Cross multiply
    76,312x = 165,758 × 165,758
  4. Step 4: Simplify right side
    76,312x = 27,475,714,564
  5. Step 5: Solve for x
    x = 27,475,714,564/76,312
  6. Step 6: Final answer
    x = 360,044.48

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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.