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Finding the Third Proportional to 139,731 and 197,527

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Solution

The third proportional to 139,731 and 197,527 is: 279,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,731 : 197,527 = 197,527 : x
  2. Step 2: Convert to fraction form
    139,731/197,527 = 197,527/x
  3. Step 3: Cross multiply
    139,731x = 197,527 × 197,527
  4. Step 4: Simplify right side
    139,731x = 39,016,915,729
  5. Step 5: Solve for x
    x = 39,016,915,729/139,731
  6. Step 6: Final answer
    x = 279,228.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.