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Finding the Third Proportional to 73,052 and 155,518

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Solution

The third proportional to 73,052 and 155,518 is: 331,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,052 : 155,518 = 155,518 : x
  2. Step 2: Convert to fraction form
    73,052/155,518 = 155,518/x
  3. Step 3: Cross multiply
    73,052x = 155,518 × 155,518
  4. Step 4: Simplify right side
    73,052x = 24,185,848,324
  5. Step 5: Solve for x
    x = 24,185,848,324/73,052
  6. Step 6: Final answer
    x = 331,077.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.