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Finding the Third Proportional to 73,216 and 155,072

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Solution

The third proportional to 73,216 and 155,072 is: 328,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,216 : 155,072 = 155,072 : x
  2. Step 2: Convert to fraction form
    73,216/155,072 = 155,072/x
  3. Step 3: Cross multiply
    73,216x = 155,072 × 155,072
  4. Step 4: Simplify right side
    73,216x = 24,047,325,184
  5. Step 5: Solve for x
    x = 24,047,325,184/73,216
  6. Step 6: Final answer
    x = 328,443.58

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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.