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Finding the Third Proportional to 133,893 and 177,693.75

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Solution

The third proportional to 133,893 and 177,693.75 is: 235,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,893 : 177,693.75 = 177,693.75 : x
  2. Step 2: Convert to fraction form
    133,893/177,693.75 = 177,693.75/x
  3. Step 3: Cross multiply
    133,893x = 177,693.75 × 177,693.75
  4. Step 4: Simplify right side
    133,893x = 31,575,068,789.06
  5. Step 5: Solve for x
    x = 31,575,068,789.06/133,893
  6. Step 6: Final answer
    x = 235,823.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.