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Finding the Third Proportional to 85,245.75 and 133,430.63

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Solution

The third proportional to 85,245.75 and 133,430.63 is: 208,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,245.75 : 133,430.63 = 133,430.63 : x
  2. Step 2: Convert to fraction form
    85,245.75/133,430.63 = 133,430.63/x
  3. Step 3: Cross multiply
    85,245.75x = 133,430.63 × 133,430.63
  4. Step 4: Simplify right side
    85,245.75x = 17,803,731,687.89
  5. Step 5: Solve for x
    x = 17,803,731,687.89/85,245.75
  6. Step 6: Final answer
    x = 208,851.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.