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Finding the Third Proportional to 127,500.75 and 191,554.88

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Solution

The third proportional to 127,500.75 and 191,554.88 is: 287,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,500.75 : 191,554.88 = 191,554.88 : x
  2. Step 2: Convert to fraction form
    127,500.75/191,554.88 = 191,554.88/x
  3. Step 3: Cross multiply
    127,500.75x = 191,554.88 × 191,554.88
  4. Step 4: Simplify right side
    127,500.75x = 36,693,270,136.27
  5. Step 5: Solve for x
    x = 36,693,270,136.27/127,500.75
  6. Step 6: Final answer
    x = 287,788.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.