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Finding the Third Proportional to 45,240.75 and 86,379.75

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Solution

The third proportional to 45,240.75 and 86,379.75 is: 164,927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,240.75 : 86,379.75 = 86,379.75 : x
  2. Step 2: Convert to fraction form
    45,240.75/86,379.75 = 86,379.75/x
  3. Step 3: Cross multiply
    45,240.75x = 86,379.75 × 86,379.75
  4. Step 4: Simplify right side
    45,240.75x = 7,461,461,210.06
  5. Step 5: Solve for x
    x = 7,461,461,210.06/45,240.75
  6. Step 6: Final answer
    x = 164,927.88

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.