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Finding the Third Proportional to 133,087 and 146,209

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Solution

The third proportional to 133,087 and 146,209 is: 160,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,087 : 146,209 = 146,209 : x
  2. Step 2: Convert to fraction form
    133,087/146,209 = 146,209/x
  3. Step 3: Cross multiply
    133,087x = 146,209 × 146,209
  4. Step 4: Simplify right side
    133,087x = 21,377,071,681
  5. Step 5: Solve for x
    x = 21,377,071,681/133,087
  6. Step 6: Final answer
    x = 160,624.79

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.