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Finding the Third Proportional to 71,955 and 152,679

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Solution

The third proportional to 71,955 and 152,679 is: 323,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,955 : 152,679 = 152,679 : x
  2. Step 2: Convert to fraction form
    71,955/152,679 = 152,679/x
  3. Step 3: Cross multiply
    71,955x = 152,679 × 152,679
  4. Step 4: Simplify right side
    71,955x = 23,310,877,041
  5. Step 5: Solve for x
    x = 23,310,877,041/71,955
  6. Step 6: Final answer
    x = 323,964.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.