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Finding the Third Proportional to 71,664 and 167,347

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Solution

The third proportional to 71,664 and 167,347 is: 390,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664 : 167,347 = 167,347 : x
  2. Step 2: Convert to fraction form
    71,664/167,347 = 167,347/x
  3. Step 3: Cross multiply
    71,664x = 167,347 × 167,347
  4. Step 4: Simplify right side
    71,664x = 28,005,018,409
  5. Step 5: Solve for x
    x = 28,005,018,409/71,664
  6. Step 6: Final answer
    x = 390,782.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.