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Finding the Third Proportional to 71,026 and 155,414

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Solution

The third proportional to 71,026 and 155,414 is: 340,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,026 : 155,414 = 155,414 : x
  2. Step 2: Convert to fraction form
    71,026/155,414 = 155,414/x
  3. Step 3: Cross multiply
    71,026x = 155,414 × 155,414
  4. Step 4: Simplify right side
    71,026x = 24,153,511,396
  5. Step 5: Solve for x
    x = 24,153,511,396/71,026
  6. Step 6: Final answer
    x = 340,065.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.