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Finding the Third Proportional to 101,684 and 155,552

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Solution

The third proportional to 101,684 and 155,552 is: 237,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,684 : 155,552 = 155,552 : x
  2. Step 2: Convert to fraction form
    101,684/155,552 = 155,552/x
  3. Step 3: Cross multiply
    101,684x = 155,552 × 155,552
  4. Step 4: Simplify right side
    101,684x = 24,196,424,704
  5. Step 5: Solve for x
    x = 24,196,424,704/101,684
  6. Step 6: Final answer
    x = 237,957.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.