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Finding the Third Proportional to 133,008 and 194,550

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Solution

The third proportional to 133,008 and 194,550 is: 284,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,008 : 194,550 = 194,550 : x
  2. Step 2: Convert to fraction form
    133,008/194,550 = 194,550/x
  3. Step 3: Cross multiply
    133,008x = 194,550 × 194,550
  4. Step 4: Simplify right side
    133,008x = 37,849,702,500
  5. Step 5: Solve for x
    x = 37,849,702,500/133,008
  6. Step 6: Final answer
    x = 284,567.11

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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.