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Finding the Third Proportional to 79,138 and 170,564

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Solution

The third proportional to 79,138 and 170,564 is: 367,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,138 : 170,564 = 170,564 : x
  2. Step 2: Convert to fraction form
    79,138/170,564 = 170,564/x
  3. Step 3: Cross multiply
    79,138x = 170,564 × 170,564
  4. Step 4: Simplify right side
    79,138x = 29,092,078,096
  5. Step 5: Solve for x
    x = 29,092,078,096/79,138
  6. Step 6: Final answer
    x = 367,612.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.