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Finding the Third Proportional to 133,952 and 181,922

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Solution

The third proportional to 133,952 and 181,922 is: 247,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,952 : 181,922 = 181,922 : x
  2. Step 2: Convert to fraction form
    133,952/181,922 = 181,922/x
  3. Step 3: Cross multiply
    133,952x = 181,922 × 181,922
  4. Step 4: Simplify right side
    133,952x = 33,095,614,084
  5. Step 5: Solve for x
    x = 33,095,614,084/133,952
  6. Step 6: Final answer
    x = 247,070.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.