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Finding the Third Proportional to 29,072 and 64,718

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Solution

The third proportional to 29,072 and 64,718 is: 144,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,072 : 64,718 = 64,718 : x
  2. Step 2: Convert to fraction form
    29,072/64,718 = 64,718/x
  3. Step 3: Cross multiply
    29,072x = 64,718 × 64,718
  4. Step 4: Simplify right side
    29,072x = 4,188,419,524
  5. Step 5: Solve for x
    x = 4,188,419,524/29,072
  6. Step 6: Final answer
    x = 144,070.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.