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Finding the Third Proportional to 76,413 and 162,666

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Solution

The third proportional to 76,413 and 162,666 is: 346,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,413 : 162,666 = 162,666 : x
  2. Step 2: Convert to fraction form
    76,413/162,666 = 162,666/x
  3. Step 3: Cross multiply
    76,413x = 162,666 × 162,666
  4. Step 4: Simplify right side
    76,413x = 26,460,227,556
  5. Step 5: Solve for x
    x = 26,460,227,556/76,413
  6. Step 6: Final answer
    x = 346,279.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.