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Finding the Third Proportional to 76,090 and 162,732

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Solution

The third proportional to 76,090 and 162,732 is: 348,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,090 : 162,732 = 162,732 : x
  2. Step 2: Convert to fraction form
    76,090/162,732 = 162,732/x
  3. Step 3: Cross multiply
    76,090x = 162,732 × 162,732
  4. Step 4: Simplify right side
    76,090x = 26,481,703,824
  5. Step 5: Solve for x
    x = 26,481,703,824/76,090
  6. Step 6: Final answer
    x = 348,031.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.