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Finding the Third Proportional to 76,502 and 165,714

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Solution

The third proportional to 76,502 and 165,714 is: 358,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502 : 165,714 = 165,714 : x
  2. Step 2: Convert to fraction form
    76,502/165,714 = 165,714/x
  3. Step 3: Cross multiply
    76,502x = 165,714 × 165,714
  4. Step 4: Simplify right side
    76,502x = 27,461,129,796
  5. Step 5: Solve for x
    x = 27,461,129,796/76,502
  6. Step 6: Final answer
    x = 358,959.63

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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.