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Finding the Third Proportional to 86,449.50 and 126,866.25

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Solution

The third proportional to 86,449.50 and 126,866.25 is: 186,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,449.50 : 126,866.25 = 126,866.25 : x
  2. Step 2: Convert to fraction form
    86,449.50/126,866.25 = 126,866.25/x
  3. Step 3: Cross multiply
    86,449.50x = 126,866.25 × 126,866.25
  4. Step 4: Simplify right side
    86,449.50x = 16,095,045,389.06
  5. Step 5: Solve for x
    x = 16,095,045,389.06/86,449.50
  6. Step 6: Final answer
    x = 186,178.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.