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Finding the Third Proportional to 133,388 and 195,086

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Solution

The third proportional to 133,388 and 195,086 is: 285,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,388 : 195,086 = 195,086 : x
  2. Step 2: Convert to fraction form
    133,388/195,086 = 195,086/x
  3. Step 3: Cross multiply
    133,388x = 195,086 × 195,086
  4. Step 4: Simplify right side
    133,388x = 38,058,547,396
  5. Step 5: Solve for x
    x = 38,058,547,396/133,388
  6. Step 6: Final answer
    x = 285,322.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.